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GCF of 534/640, 313/378

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 534/640, 313/378 i.e 1/120960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 534/640, 313/378.

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 534/640,313/378?

Given fractions are 534/640,313/378

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 534/640,313/378, numerators are 534,313

Denominators are 640,378

The GCF of 534,313 is 1 .

LCM of 640,378 is 120960.

The greatest common factor of 534/640,313/378 = [GCF of 534,313]/[LCM of 640,378]= 1/120960

Therefore, the GCF of 534/640,313/378 is 1/120960.

Greatest Common Factor of 534,313

To find the highest common factor of 534,313, we have to find the factors of both numbers and list the highest common factor.

The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534

The factors of 313 are 1, 313

The HCF of 534,313 is 1.

Lets's calculate GCF of 534,313

Greatest Common Factor (GCF) of 534,313 By Common Division

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

Greatest Common Factor of 534,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,313 By Matching Biggest Common Factor Method

Now, list down the factors of 534

:

1,2,3,6,89,178,267,534

Now, list down the factors of 313

:

1,313

Greatest Common Factor

We found the factors 534,313 . The biggest common factor number is the GCF number.
So the greatest common factor 534,313 is 1.

Lets's calculate LCM of 640,378

Lowest Common Multiple of 640,378 using Common Division

2 640, 378
320, 189

∴ So the LCM of the given numbers is 2 x 320 x 189 = 120960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120960

Therefore, the GCF of Fractions 534/640,313/378 is 1/120960

Least Common Multiple of 640,378 with GCF Formula

Least Common Multiple of 640,378 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 640,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,378) = 2

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

GCF(640,378) x common factors =2 x 1 = 2

LCM(640,378) = ( 640 × 378 ) / 2

LCM(640,378) = 241920 / 2

LCM(640,378) = 120960


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FAQs on GCF of Fractions of 534/640, 313/378

1. What is the HCF of 534,313?

The HCF of 534,313 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 534/640, 313/378?

Answer: GCF of Numerators as per given numbers 534/640, 313/378 is

GCF of Numerators i.e. for 534,313 is 1

LCM of denominators i.e. for 640,378 is 120960.

Thus, GCF of Fractions is 1/120960.Finally, GCF of Fractions for 534/640, 313/378 is 1/120960.