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GCF of 931/12, 510/512

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 931/12, 510/512 i.e 1/1536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/12, 510/512.

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 931/12,510/512?

Given fractions are 931/12,510/512

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 931/12,510/512, numerators are 931,510

Denominators are 12,512

The GCF of 931,510 is 1 .

LCM of 12,512 is 1536.

The greatest common factor of 931/12,510/512 = [GCF of 931,510]/[LCM of 12,512]= 1/1536

Therefore, the GCF of 931/12,510/512 is 1/1536.

Greatest Common Factor of 931,510

To find the highest common factor of 931,510, we have to find the factors of both numbers and list the highest common factor.

The factors of 931 are 1, 7, 19, 49, 133, 931

The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The HCF of 931,510 is 1.

Lets's calculate GCF of 931,510

Greatest Common Factor (GCF) of 931,510 By Common Division

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

Greatest Common Factor of 931,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,510 By Matching Biggest Common Factor Method

Now, list down the factors of 931

:

1,7,19,49,133,931

Now, list down the factors of 510

:

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 931,510 . The biggest common factor number is the GCF number.
So the greatest common factor 931,510 is 1.

Lets's calculate LCM of 12,512

Lowest Common Multiple of 12,512 using Common Division

2 12, 512
2 6, 256
3, 128

∴ So the LCM of the given numbers is 2 x 2 x 3 x 128 = 1536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1536

Therefore, the GCF of Fractions 931/12,510/512 is 1/1536

Least Common Multiple of 12,512 with GCF Formula

Least Common Multiple of 12,512 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 12,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,512) = 4

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

GCF(12,512) x common factors =4 x 1 = 4

LCM(12,512) = ( 12 × 512 ) / 4

LCM(12,512) = 6144 / 4

LCM(12,512) = 1536


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FAQs on GCF of Fractions of 931/12, 510/512

1. What is the HCF of 931,510?

The HCF of 931,510 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 931/12, 510/512?

Answer: GCF of Numerators as per given numbers 931/12, 510/512 is

GCF of Numerators i.e. for 931,510 is 1

LCM of denominators i.e. for 12,512 is 1536.

Thus, GCF of Fractions is 1/1536.Finally, GCF of Fractions for 931/12, 510/512 is 1/1536.