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GCF of 867/547, 782/528

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 867/547, 782/528 i.e 17/288816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/547, 782/528.

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 867/547,782/528?

Given fractions are 867/547,782/528

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 867/547,782/528, numerators are 867,782

Denominators are 547,528

The GCF of 867,782 is 17 .

LCM of 547,528 is 288816.

The greatest common factor of 867/547,782/528 = [GCF of 867,782]/[LCM of 547,528]= 17/288816

Therefore, the GCF of 867/547,782/528 is 17/288816.

Greatest Common Factor of 867,782

To find the highest common factor of 867,782, we have to find the factors of both numbers and list the highest common factor.

The factors of 867 are 1, 3, 17, 51, 289, 867

The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782

The HCF of 867,782 is 17.

Lets's calculate GCF of 867,782

Greatest Common Factor (GCF) of 867,782 By Common Division

17 867, 782
51, 46

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 867,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,782 By Matching Biggest Common Factor Method

Now, list down the factors of 867

:

1,3,17,51,289,867

Now, list down the factors of 782

:

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 867,782 . The biggest common factor number is the GCF number.
So the greatest common factor 867,782 is 17.

Lets's calculate LCM of 547,528

Lowest Common Multiple of 547,528 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 288816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/288816

Therefore, the GCF of Fractions 867/547,782/528 is 17/288816

Least Common Multiple of 547,528 with GCF Formula

Least Common Multiple of 547,528 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 547,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,528) = 1

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

GCF(547,528) x common factors =1 x 1 = 1

LCM(547,528) = ( 547 × 528 ) / 1

LCM(547,528) = 288816 / 1

LCM(547,528) = 288816


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FAQs on GCF of Fractions of 867/547, 782/528

1. What is the HCF of 867,782?

The HCF of 867,782 is 17

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 867/547, 782/528?

Answer: GCF of Numerators as per given numbers 867/547, 782/528 is

GCF of Numerators i.e. for 867,782 is 17

LCM of denominators i.e. for 547,528 is 288816.

Thus, GCF of Fractions is 17/288816.Finally, GCF of Fractions for 867/547, 782/528 is 17/288816.