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GCF of 375/510, 1524/692

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 375/510, 1524/692 i.e 3/176460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 375/510, 1524/692.

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 375/510,1524/692?

Given fractions are 375/510,1524/692

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 375/510,1524/692, numerators are 375,1524

Denominators are 510,692

The GCF of 375,1524 is 3 .

LCM of 510,692 is 176460.

The greatest common factor of 375/510,1524/692 = [GCF of 375,1524]/[LCM of 510,692]= 3/176460

Therefore, the GCF of 375/510,1524/692 is 3/176460.

Greatest Common Factor of 375,1524

To find the highest common factor of 375,1524, we have to find the factors of both numbers and list the highest common factor.

The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375

The factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524

The HCF of 375,1524 is 3.

Lets's calculate GCF of 375,1524

Greatest Common Factor (GCF) of 375,1524 By Common Division

3 375, 1524
125, 508

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

Greatest Common Factor of 375,1524 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,1524 By Matching Biggest Common Factor Method

Now, list down the factors of 375

:

1,3,5,15,25,75,125,375

Now, list down the factors of 1524

:

1,2,3,4,6,12,127,254,381,508,762,1524

Greatest Common Factor

We found the factors 375,1524 . The biggest common factor number is the GCF number.
So the greatest common factor 375,1524 is 3.

Lets's calculate LCM of 510,692

Lowest Common Multiple of 510,692 using Common Division

2 510, 692
255, 346

∴ So the LCM of the given numbers is 2 x 255 x 346 = 176460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/176460

Therefore, the GCF of Fractions 375/510,1524/692 is 3/176460

Least Common Multiple of 510,692 with GCF Formula

Least Common Multiple of 510,692 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 510,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,692) = 2

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

GCF(510,692) x common factors =2 x 1 = 2

LCM(510,692) = ( 510 × 692 ) / 2

LCM(510,692) = 352920 / 2

LCM(510,692) = 176460


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FAQs on GCF of Fractions of 375/510, 1524/692

1. What is the HCF of 375,1524?

The HCF of 375,1524 is 3

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 375/510, 1524/692?

Answer: GCF of Numerators as per given numbers 375/510, 1524/692 is

GCF of Numerators i.e. for 375,1524 is 3

LCM of denominators i.e. for 510,692 is 176460.

Thus, GCF of Fractions is 3/176460.Finally, GCF of Fractions for 375/510, 1524/692 is 3/176460.