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GCF of 257/528, 927/780

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 257/528, 927/780 i.e 1/34320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 257/528, 927/780.

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 257/528,927/780?

Given fractions are 257/528,927/780

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 257/528,927/780, numerators are 257,927

Denominators are 528,780

The GCF of 257,927 is 1 .

LCM of 528,780 is 34320.

The greatest common factor of 257/528,927/780 = [GCF of 257,927]/[LCM of 528,780]= 1/34320

Therefore, the GCF of 257/528,927/780 is 1/34320.

Greatest Common Factor of 257,927

To find the highest common factor of 257,927, we have to find the factors of both numbers and list the highest common factor.

The factors of 257 are 1, 257

The factors of 927 are 1, 3, 9, 103, 309, 927

The HCF of 257,927 is 1.

Lets's calculate GCF of 257,927

Greatest Common Factor (GCF) of 257,927 By Common Division

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

Greatest Common Factor of 257,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,927 By Matching Biggest Common Factor Method

Now, list down the factors of 257

:

1,257

Now, list down the factors of 927

:

1,3,9,103,309,927

Greatest Common Factor

We found the factors 257,927 . The biggest common factor number is the GCF number.
So the greatest common factor 257,927 is 1.

Lets's calculate LCM of 528,780

Lowest Common Multiple of 528,780 using Common Division

2 528, 780
2 264, 390
3 132, 195
44, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 44 x 65 = 34320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34320

Therefore, the GCF of Fractions 257/528,927/780 is 1/34320

Least Common Multiple of 528,780 with GCF Formula

Least Common Multiple of 528,780 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 528,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,780) = 12

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

GCF(528,780) x common factors =12 x 1 = 12

LCM(528,780) = ( 528 × 780 ) / 12

LCM(528,780) = 411840 / 12

LCM(528,780) = 34320


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FAQs on GCF of Fractions of 257/528, 927/780

1. What is the HCF of 257,927?

The HCF of 257,927 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 257/528, 927/780?

Answer: GCF of Numerators as per given numbers 257/528, 927/780 is

GCF of Numerators i.e. for 257,927 is 1

LCM of denominators i.e. for 528,780 is 34320.

Thus, GCF of Fractions is 1/34320.Finally, GCF of Fractions for 257/528, 927/780 is 1/34320.