How to Find GCF of 44/77, 678/91, 967/752?

GCF of 44/77, 678/91, 967/752

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 44/77, 678/91, 967/752 i.e 1/752752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/77, 678/91, 967/752.

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 44/77,678/91,967/752?

Given fractions are 44/77,678/91,967/752

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 44/77,678/91,967/752, numerators are 44,678,967

Denominators are 77,91,752

The GCF of 44,678,967 is 1 .

LCM of 77,91,752 is 752752.

The greatest common factor of 44/77,678/91,967/752 = [GCF of 44,678,967]/[LCM of 77,91,752]= 1/752752

Therefore, the GCF of 44/77,678/91,967/752 is 1/752752.

Greatest Common Factor of 44,678,967

To find the highest common factor of 44,678,967, we have to find the factors of both numbers and list the highest common factor.

The factors of 44 are 1, 2, 4, 11, 22, 44

The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678

The factors of 967 are 1, 967

The HCF of 44,678,967 is 1.

Lets's calculate GCF of 44,678,967

Greatest Common Factor (GCF) of 44,678,967 By Common Division

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

Greatest Common Factor of 44,678,967 By Matching Biggest Common Factor Method

Now, list down the factors of 44

1,2,4,11,22,44

Now, list down the factors of 678

1,2,3,6,113,226,339,678

Now, list down the factors of 967

1,967

Greatest Common Factor

We found the factors 44,678,967 . The biggest common factor number is the GCF number.
So the greatest common factor 44,678,967 is 1.

Lets's calculate LCM of 77,91,752

Lowest Common Multiple of 77,91,752 using Common Division

7	77, 91, 752
	11, 13, 752

∴ So the LCM of the given numbers is 7 x 11 x 13 x 752 = 752752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/752752

Therefore, the GCF of Fractions 44/77,678/91,967/752 is 1/752752

Least Common Multiple of 77,91,752 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 77,91,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,91,752) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,91,752) x common factors =1 x 7 = 7

LCM(77,91,752) = ( 77 × 91 × 752 ) / 7

LCM(77,91,752) = 5269264 / 7

LCM(77,91,752) = 752752

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 44/77, 678/91, 967/752

1. What is the HCF of 44,678,967?

The HCF of 44,678,967 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 44/77, 678/91, 967/752?

Answer: GCF of Numerators as per given numbers 44/77, 678/91, 967/752 is

GCF of Numerators i.e. for 44,678,967 is 1

LCM of denominators i.e. for 77,91,752 is 752752.

Thus, GCF of Fractions is 1/752752.Finally, GCF of Fractions for 44/77, 678/91, 967/752 is 1/752752.