LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 7711/984, 3491/216

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 7711/984, 3491/216 i.e 1/8856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7711/984, 3491/216.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7711/984,3491/216?

Given fractions are 7711/984,3491/216

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 7711/984,3491/216, numerators are 7711,3491

Denominators are 984,216

The GCF of 7711,3491 is 1 .

LCM of 984,216 is 8856.

The greatest common factor of 7711/984,3491/216 = [GCF of 7711,3491]/[LCM of 984,216]= 1/8856

Therefore, the GCF of 7711/984,3491/216 is 1/8856.

Greatest Common Factor of 7711,3491

To find the highest common factor of 7711,3491, we have to find the factors of both numbers and list the highest common factor.

The factors of 7711 are 1, 11, 701, 7711

The factors of 3491 are 1, 3491

The HCF of 7711,3491 is 1.

Lets's calculate GCF of 7711,3491

Greatest Common Factor (GCF) of 7711,3491 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7711,3491 By Matching Biggest Common Factor Method

Greatest Common Factor of 7711,3491 By Matching Biggest Common Factor Method

Now, list down the factors of 7711

:

1,11,701,7711

Now, list down the factors of 3491

:

1,3491

Greatest Common Factor

We found the factors 7711,3491 . The biggest common factor number is the GCF number.
So the greatest common factor 7711,3491 is 1.

Lets's calculate LCM of 984,216

Lowest Common Multiple of 984,216 using Common Division

2 984, 216
2 492, 108
2 246, 54
3 123, 27
41, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 9 = 8856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8856

Therefore, the GCF of Fractions 7711/984,3491/216 is 1/8856

Least Common Multiple of 984,216 with GCF Formula

Least Common Multiple of 984,216 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 984,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,216) = 24

common factors(in case of two or more numbers have common factors) = 1

GCF(984,216) x common factors =24 x 1 = 24

LCM(984,216) = ( 984 × 216 ) / 24

LCM(984,216) = 212544 / 24

LCM(984,216) = 8856


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7711/984, 3491/216

1. What is the HCF of 7711,3491?

The HCF of 7711,3491 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 7711/984, 3491/216?

Answer: GCF of Numerators as per given numbers 7711/984, 3491/216 is

GCF of Numerators i.e. for 7711,3491 is 1

LCM of denominators i.e. for 984,216 is 8856.

Thus, GCF of Fractions is 1/8856.Finally, GCF of Fractions for 7711/984, 3491/216 is 1/8856.