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GCF of 121/742, 419/718

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 121/742, 419/718 i.e 1/266378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/742, 419/718.

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 121/742,419/718?

Given fractions are 121/742,419/718

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 121/742,419/718, numerators are 121,419

Denominators are 742,718

The GCF of 121,419 is 1 .

LCM of 742,718 is 266378.

The greatest common factor of 121/742,419/718 = [GCF of 121,419]/[LCM of 742,718]= 1/266378

Therefore, the GCF of 121/742,419/718 is 1/266378.

Greatest Common Factor of 121,419

To find the highest common factor of 121,419, we have to find the factors of both numbers and list the highest common factor.

The factors of 121 are 1, 11, 121

The factors of 419 are 1, 419

The HCF of 121,419 is 1.

Lets's calculate GCF of 121,419

Greatest Common Factor (GCF) of 121,419 By Common Division

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

Greatest Common Factor of 121,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,419 By Matching Biggest Common Factor Method

Now, list down the factors of 121

:

1,11,121

Now, list down the factors of 419

:

1,419

Greatest Common Factor

We found the factors 121,419 . The biggest common factor number is the GCF number.
So the greatest common factor 121,419 is 1.

Lets's calculate LCM of 742,718

Lowest Common Multiple of 742,718 using Common Division

2 742, 718
371, 359

∴ So the LCM of the given numbers is 2 x 371 x 359 = 266378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266378

Therefore, the GCF of Fractions 121/742,419/718 is 1/266378

Least Common Multiple of 742,718 with GCF Formula

Least Common Multiple of 742,718 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 742,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,718) = 2

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

GCF(742,718) x common factors =2 x 1 = 2

LCM(742,718) = ( 742 × 718 ) / 2

LCM(742,718) = 532756 / 2

LCM(742,718) = 266378


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 121/742, 419/718

1. What is the HCF of 121,419?

The HCF of 121,419 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 121/742, 419/718?

Answer: GCF of Numerators as per given numbers 121/742, 419/718 is

GCF of Numerators i.e. for 121,419 is 1

LCM of denominators i.e. for 742,718 is 266378.

Thus, GCF of Fractions is 1/266378.Finally, GCF of Fractions for 121/742, 419/718 is 1/266378.