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 711/77, 117/950

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 711/77, 117/950 i.e 9/73150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 711/77, 117/950.

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 711/77,117/950?

Given fractions are 711/77,117/950

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 711/77,117/950, numerators are 711,117

Denominators are 77,950

The GCF of 711,117 is 9 .

LCM of 77,950 is 73150.

The greatest common factor of 711/77,117/950 = [GCF of 711,117]/[LCM of 77,950]= 9/73150

Therefore, the GCF of 711/77,117/950 is 9/73150.

Greatest Common Factor of 711,117

To find the highest common factor of 711,117, we have to find the factors of both numbers and list the highest common factor.

The factors of 711 are 1, 3, 9, 79, 237, 711

The factors of 117 are 1, 3, 9, 13, 39, 117

The HCF of 711,117 is 9.

Lets's calculate GCF of 711,117

Greatest Common Factor (GCF) of 711,117 By Common Division

3 711, 117
3 237, 39
79, 13

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 711,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,117 By Matching Biggest Common Factor Method

Now, list down the factors of 711

:

1,3,9,79,237,711

Now, list down the factors of 117

:

1,3,9,13,39,117

Greatest Common Factor

We found the factors 711,117 . The biggest common factor number is the GCF number.
So the greatest common factor 711,117 is 9.

Lets's calculate LCM of 77,950

Lowest Common Multiple of 77,950 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 73150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/73150

Therefore, the GCF of Fractions 711/77,117/950 is 9/73150

Least Common Multiple of 77,950 with GCF Formula

Least Common Multiple of 77,950 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 77,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,950) = 1

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

GCF(77,950) x common factors =1 x 1 = 1

LCM(77,950) = ( 77 × 950 ) / 1

LCM(77,950) = 73150 / 1

LCM(77,950) = 73150


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 711/77, 117/950

1. What is the HCF of 711,117?

The HCF of 711,117 is 9

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 711/77, 117/950?

Answer: GCF of Numerators as per given numbers 711/77, 117/950 is

GCF of Numerators i.e. for 711,117 is 9

LCM of denominators i.e. for 77,950 is 73150.

Thus, GCF of Fractions is 9/73150.Finally, GCF of Fractions for 711/77, 117/950 is 9/73150.