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GCF of 545/572, 928/692

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 545/572, 928/692 i.e 1/98956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 545/572, 928/692.

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 545/572,928/692?

Given fractions are 545/572,928/692

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 545/572,928/692, numerators are 545,928

Denominators are 572,692

The GCF of 545,928 is 1 .

LCM of 572,692 is 98956.

The greatest common factor of 545/572,928/692 = [GCF of 545,928]/[LCM of 572,692]= 1/98956

Therefore, the GCF of 545/572,928/692 is 1/98956.

Greatest Common Factor of 545,928

To find the highest common factor of 545,928, we have to find the factors of both numbers and list the highest common factor.

The factors of 545 are 1, 5, 109, 545

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The HCF of 545,928 is 1.

Lets's calculate GCF of 545,928

Greatest Common Factor (GCF) of 545,928 By Common Division

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

Greatest Common Factor of 545,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,928 By Matching Biggest Common Factor Method

Now, list down the factors of 545

:

1,5,109,545

Now, list down the factors of 928

:

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 545,928 . The biggest common factor number is the GCF number.
So the greatest common factor 545,928 is 1.

Lets's calculate LCM of 572,692

Lowest Common Multiple of 572,692 using Common Division

2 572, 692
2 286, 346
143, 173

∴ So the LCM of the given numbers is 2 x 2 x 143 x 173 = 98956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98956

Therefore, the GCF of Fractions 545/572,928/692 is 1/98956

Least Common Multiple of 572,692 with GCF Formula

Least Common Multiple of 572,692 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 572,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,692) = 4

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

GCF(572,692) x common factors =4 x 1 = 4

LCM(572,692) = ( 572 × 692 ) / 4

LCM(572,692) = 395824 / 4

LCM(572,692) = 98956


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FAQs on GCF of Fractions of 545/572, 928/692

1. What is the HCF of 545,928?

The HCF of 545,928 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 545/572, 928/692?

Answer: GCF of Numerators as per given numbers 545/572, 928/692 is

GCF of Numerators i.e. for 545,928 is 1

LCM of denominators i.e. for 572,692 is 98956.

Thus, GCF of Fractions is 1/98956.Finally, GCF of Fractions for 545/572, 928/692 is 1/98956.