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 918/268, 419/968

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 918/268, 419/968 i.e 1/64856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/268, 419/968.

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 918/268,419/968?

Given fractions are 918/268,419/968

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 918/268,419/968, numerators are 918,419

Denominators are 268,968

The GCF of 918,419 is 1 .

LCM of 268,968 is 64856.

The greatest common factor of 918/268,419/968 = [GCF of 918,419]/[LCM of 268,968]= 1/64856

Therefore, the GCF of 918/268,419/968 is 1/64856.

Greatest Common Factor of 918,419

To find the highest common factor of 918,419, we have to find the factors of both numbers and list the highest common factor.

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The factors of 419 are 1, 419

The HCF of 918,419 is 1.

Lets's calculate GCF of 918,419

Greatest Common Factor (GCF) of 918,419 By Common Division

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

Greatest Common Factor of 918,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,419 By Matching Biggest Common Factor Method

Now, list down the factors of 918

:

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Now, list down the factors of 419

:

1,419

Greatest Common Factor

We found the factors 918,419 . The biggest common factor number is the GCF number.
So the greatest common factor 918,419 is 1.

Lets's calculate LCM of 268,968

Lowest Common Multiple of 268,968 using Common Division

2 268, 968
2 134, 484
67, 242

∴ So the LCM of the given numbers is 2 x 2 x 67 x 242 = 64856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64856

Therefore, the GCF of Fractions 918/268,419/968 is 1/64856

Least Common Multiple of 268,968 with GCF Formula

Least Common Multiple of 268,968 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 268,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,968) = 4

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

GCF(268,968) x common factors =4 x 1 = 4

LCM(268,968) = ( 268 × 968 ) / 4

LCM(268,968) = 259424 / 4

LCM(268,968) = 64856


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 918/268, 419/968

1. What is the HCF of 918,419?

The HCF of 918,419 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 918/268, 419/968?

Answer: GCF of Numerators as per given numbers 918/268, 419/968 is

GCF of Numerators i.e. for 918,419 is 1

LCM of denominators i.e. for 268,968 is 64856.

Thus, GCF of Fractions is 1/64856.Finally, GCF of Fractions for 918/268, 419/968 is 1/64856.