How to Find GCF of 780/91, 302/661?

GCF of 780/91, 302/661

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 780/91, 302/661 i.e 2/60151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 780/91, 302/661.

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 780/91,302/661?

Given fractions are 780/91,302/661

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 780/91,302/661, numerators are 780,302

Denominators are 91,661

The GCF of 780,302 is 2 .

LCM of 91,661 is 60151.

The greatest common factor of 780/91,302/661 = [GCF of 780,302]/[LCM of 91,661]= 2/60151

Therefore, the GCF of 780/91,302/661 is 2/60151.

Greatest Common Factor of 780,302

To find the highest common factor of 780,302, we have to find the factors of both numbers and list the highest common factor.

The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

The factors of 302 are 1, 2, 151, 302

The HCF of 780,302 is 2.

Lets's calculate GCF of 780,302

Greatest Common Factor (GCF) of 780,302 By Common Division

2	780, 302
	390, 151

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 780,302 By Matching Biggest Common Factor Method

Now, list down the factors of 780

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Now, list down the factors of 302

1,2,151,302

Greatest Common Factor

We found the factors 780,302 . The biggest common factor number is the GCF number.
So the greatest common factor 780,302 is 2.

Lets's calculate LCM of 91,661

Lowest Common Multiple of 91,661 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 60151

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60151

Therefore, the GCF of Fractions 780/91,302/661 is 2/60151

Least Common Multiple of 91,661 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 91,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,661) = 1

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

GCF(91,661) x common factors =1 x 1 = 1

LCM(91,661) = ( 91 × 661 ) / 1

LCM(91,661) = 60151 / 1

LCM(91,661) = 60151

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FAQs on GCF of Fractions of 780/91, 302/661

1. What is the HCF of 780,302?

The HCF of 780,302 is 2

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 780/91, 302/661?

Answer: GCF of Numerators as per given numbers 780/91, 302/661 is

GCF of Numerators i.e. for 780,302 is 2

LCM of denominators i.e. for 91,661 is 60151.

Thus, GCF of Fractions is 2/60151.Finally, GCF of Fractions for 780/91, 302/661 is 2/60151.