How to Find GCF of 280/389, 4178/2961?

GCF of 280/389, 4178/2961

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 280/389, 4178/2961 i.e 2/1151829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 280/389, 4178/2961.

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 280/389,4178/2961?

Given fractions are 280/389,4178/2961

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 280/389,4178/2961, numerators are 280,4178

Denominators are 389,2961

The GCF of 280,4178 is 2 .

LCM of 389,2961 is 1151829.

The greatest common factor of 280/389,4178/2961 = [GCF of 280,4178]/[LCM of 389,2961]= 2/1151829

Therefore, the GCF of 280/389,4178/2961 is 2/1151829.

Greatest Common Factor of 280,4178

To find the highest common factor of 280,4178, we have to find the factors of both numbers and list the highest common factor.

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The factors of 4178 are 1, 2, 2089, 4178

The HCF of 280,4178 is 2.

Lets's calculate GCF of 280,4178

Greatest Common Factor (GCF) of 280,4178 By Common Division

2	280, 4178
	140, 2089

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

Greatest Common Factor of 280,4178 By Matching Biggest Common Factor Method

Now, list down the factors of 280

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Now, list down the factors of 4178

1,2,2089,4178

Greatest Common Factor

We found the factors 280,4178 . The biggest common factor number is the GCF number.
So the greatest common factor 280,4178 is 2.

Lets's calculate LCM of 389,2961

Lowest Common Multiple of 389,2961 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1151829

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1151829

Therefore, the GCF of Fractions 280/389,4178/2961 is 2/1151829

Least Common Multiple of 389,2961 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 389,2961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,2961) = 1

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

GCF(389,2961) x common factors =1 x 1 = 1

LCM(389,2961) = ( 389 × 2961 ) / 1

LCM(389,2961) = 1151829 / 1

LCM(389,2961) = 1151829

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FAQs on GCF of Fractions of 280/389, 4178/2961

1. What is the HCF of 280,4178?

The HCF of 280,4178 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 280/389, 4178/2961?

Answer: GCF of Numerators as per given numbers 280/389, 4178/2961 is

GCF of Numerators i.e. for 280,4178 is 2

LCM of denominators i.e. for 389,2961 is 1151829.

Thus, GCF of Fractions is 2/1151829.Finally, GCF of Fractions for 280/389, 4178/2961 is 2/1151829.