How to Find GCF of 80/44, 967/57, 767/587?

GCF of 80/44, 967/57, 767/587

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 80/44, 967/57, 767/587 i.e 1/1472196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/44, 967/57, 767/587.

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 80/44,967/57,767/587?

Given fractions are 80/44,967/57,767/587

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 80/44,967/57,767/587, numerators are 80,967,767

Denominators are 44,57,587

The GCF of 80,967,767 is 1 .

LCM of 44,57,587 is 1472196.

The greatest common factor of 80/44,967/57,767/587 = [GCF of 80,967,767]/[LCM of 44,57,587]= 1/1472196

Therefore, the GCF of 80/44,967/57,767/587 is 1/1472196.

Greatest Common Factor of 80,967,767

To find the highest common factor of 80,967,767, we have to find the factors of both numbers and list the highest common factor.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 967 are 1, 967

The factors of 767 are 1, 13, 59, 767

The HCF of 80,967,767 is 1.

Lets's calculate GCF of 80,967,767

Greatest Common Factor (GCF) of 80,967,767 By Common Division

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

Greatest Common Factor of 80,967,767 By Matching Biggest Common Factor Method

Now, list down the factors of 80

1,2,4,5,8,10,16,20,40,80

Now, list down the factors of 967

1,967

Now, list down the factors of 767

1,13,59,767

Greatest Common Factor

We found the factors 80,967,767 . The biggest common factor number is the GCF number.
So the greatest common factor 80,967,767 is 1.

Lets's calculate LCM of 44,57,587

Lowest Common Multiple of 44,57,587 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1472196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1472196

Therefore, the GCF of Fractions 80/44,967/57,767/587 is 1/1472196

Least Common Multiple of 44,57,587 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 44,57,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,57,587) = 1

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

GCF(44,57,587) x common factors =1 x 1 = 1

LCM(44,57,587) = ( 44 × 57 × 587 ) / 1

LCM(44,57,587) = 1472196 / 1

LCM(44,57,587) = 1472196

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FAQs on GCF of Fractions of 80/44, 967/57, 767/587

1. What is the HCF of 80,967,767?

The HCF of 80,967,767 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 80/44, 967/57, 767/587?

Answer: GCF of Numerators as per given numbers 80/44, 967/57, 767/587 is

GCF of Numerators i.e. for 80,967,767 is 1

LCM of denominators i.e. for 44,57,587 is 1472196.

Thus, GCF of Fractions is 1/1472196.Finally, GCF of Fractions for 80/44, 967/57, 767/587 is 1/1472196.