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GCF of 967/524, 1523/880

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 967/524, 1523/880 i.e 1/115280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 967/524, 1523/880.

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 967/524,1523/880?

Given fractions are 967/524,1523/880

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 967/524,1523/880, numerators are 967,1523

Denominators are 524,880

The GCF of 967,1523 is 1 .

LCM of 524,880 is 115280.

The greatest common factor of 967/524,1523/880 = [GCF of 967,1523]/[LCM of 524,880]= 1/115280

Therefore, the GCF of 967/524,1523/880 is 1/115280.

Greatest Common Factor of 967,1523

To find the highest common factor of 967,1523, we have to find the factors of both numbers and list the highest common factor.

The factors of 967 are 1, 967

The factors of 1523 are 1, 1523

The HCF of 967,1523 is 1.

Lets's calculate GCF of 967,1523

Greatest Common Factor (GCF) of 967,1523 By Common Division

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

Greatest Common Factor of 967,1523 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,1523 By Matching Biggest Common Factor Method

Now, list down the factors of 967

:

1,967

Now, list down the factors of 1523

:

1,1523

Greatest Common Factor

We found the factors 967,1523 . The biggest common factor number is the GCF number.
So the greatest common factor 967,1523 is 1.

Lets's calculate LCM of 524,880

Lowest Common Multiple of 524,880 using Common Division

2 524, 880
2 262, 440
131, 220

∴ So the LCM of the given numbers is 2 x 2 x 131 x 220 = 115280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115280

Therefore, the GCF of Fractions 967/524,1523/880 is 1/115280

Least Common Multiple of 524,880 with GCF Formula

Least Common Multiple of 524,880 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 524,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,880) = 4

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

GCF(524,880) x common factors =4 x 1 = 4

LCM(524,880) = ( 524 × 880 ) / 4

LCM(524,880) = 461120 / 4

LCM(524,880) = 115280


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FAQs on GCF of Fractions of 967/524, 1523/880

1. What is the HCF of 967,1523?

The HCF of 967,1523 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 967/524, 1523/880?

Answer: GCF of Numerators as per given numbers 967/524, 1523/880 is

GCF of Numerators i.e. for 967,1523 is 1

LCM of denominators i.e. for 524,880 is 115280.

Thus, GCF of Fractions is 1/115280.Finally, GCF of Fractions for 967/524, 1523/880 is 1/115280.