How to Find GCF of 87/65, 452/10, 967/553?

GCF of 87/65, 452/10, 967/553

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 87/65, 452/10, 967/553 i.e 1/71890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/65, 452/10, 967/553.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 87/65,452/10,967/553?

Given fractions are 87/65,452/10,967/553

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 87/65,452/10,967/553, numerators are 87,452,967

Denominators are 65,10,553

The GCF of 87,452,967 is 1 .

LCM of 65,10,553 is 71890.

The greatest common factor of 87/65,452/10,967/553 = [GCF of 87,452,967]/[LCM of 65,10,553]= 1/71890

Therefore, the GCF of 87/65,452/10,967/553 is 1/71890.

Greatest Common Factor of 87,452,967

To find the highest common factor of 87,452,967, we have to find the factors of both numbers and list the highest common factor.

The factors of 87 are 1, 3, 29, 87

The factors of 452 are 1, 2, 4, 113, 226, 452

The factors of 967 are 1, 967

The HCF of 87,452,967 is 1.

Lets's calculate GCF of 87,452,967

Greatest Common Factor (GCF) of 87,452,967 By Common Division

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

Greatest Common Factor of 87,452,967 By Matching Biggest Common Factor Method

Now, list down the factors of 87

1,3,29,87

Now, list down the factors of 452

1,2,4,113,226,452

Now, list down the factors of 967

1,967

Greatest Common Factor

We found the factors 87,452,967 . The biggest common factor number is the GCF number.
So the greatest common factor 87,452,967 is 1.

Lets's calculate LCM of 65,10,553

Lowest Common Multiple of 65,10,553 using Common Division

5	65, 10, 553
	13, 2, 553

∴ So the LCM of the given numbers is 5 x 13 x 2 x 553 = 71890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71890

Therefore, the GCF of Fractions 87/65,452/10,967/553 is 1/71890

Least Common Multiple of 65,10,553 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 65,10,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,10,553) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,10,553) x common factors =1 x 5 = 5

LCM(65,10,553) = ( 65 × 10 × 553 ) / 5

LCM(65,10,553) = 359450 / 5

LCM(65,10,553) = 71890

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FAQs on GCF of Fractions of 87/65, 452/10, 967/553

1. What is the HCF of 87,452,967?

The HCF of 87,452,967 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 87/65, 452/10, 967/553?

Answer: GCF of Numerators as per given numbers 87/65, 452/10, 967/553 is

GCF of Numerators i.e. for 87,452,967 is 1

LCM of denominators i.e. for 65,10,553 is 71890.

Thus, GCF of Fractions is 1/71890.Finally, GCF of Fractions for 87/65, 452/10, 967/553 is 1/71890.