How to Find GCF of 1400/959, 2796/253?

GCF of 1400/959, 2796/253

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 1400/959, 2796/253 i.e 4/242627 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1400/959, 2796/253.

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 1400/959,2796/253?

Given fractions are 1400/959,2796/253

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 1400/959,2796/253, numerators are 1400,2796

Denominators are 959,253

The GCF of 1400,2796 is 4 .

LCM of 959,253 is 242627.

The greatest common factor of 1400/959,2796/253 = [GCF of 1400,2796]/[LCM of 959,253]= 4/242627

Therefore, the GCF of 1400/959,2796/253 is 4/242627.

Greatest Common Factor of 1400,2796

To find the highest common factor of 1400,2796, we have to find the factors of both numbers and list the highest common factor.

The factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400

The factors of 2796 are 1, 2, 3, 4, 6, 12, 233, 466, 699, 932, 1398, 2796

The HCF of 1400,2796 is 4.

Lets's calculate GCF of 1400,2796

Greatest Common Factor (GCF) of 1400,2796 By Common Division

2	1400, 2796
2	700, 1398
	350, 699

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1400,2796 By Matching Biggest Common Factor Method

Now, list down the factors of 1400

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400

Now, list down the factors of 2796

1,2,3,4,6,12,233,466,699,932,1398,2796

Greatest Common Factor

We found the factors 1400,2796 . The biggest common factor number is the GCF number.
So the greatest common factor 1400,2796 is 4.

Lets's calculate LCM of 959,253

Lowest Common Multiple of 959,253 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 242627

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/242627

Therefore, the GCF of Fractions 1400/959,2796/253 is 4/242627

Least Common Multiple of 959,253 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 959,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,253) = 1

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

GCF(959,253) x common factors =1 x 1 = 1

LCM(959,253) = ( 959 × 253 ) / 1

LCM(959,253) = 242627 / 1

LCM(959,253) = 242627

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FAQs on GCF of Fractions of 1400/959, 2796/253

1. What is the HCF of 1400,2796?

The HCF of 1400,2796 is 4

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 1400/959, 2796/253?

Answer: GCF of Numerators as per given numbers 1400/959, 2796/253 is

GCF of Numerators i.e. for 1400,2796 is 4

LCM of denominators i.e. for 959,253 is 242627.

Thus, GCF of Fractions is 4/242627.Finally, GCF of Fractions for 1400/959, 2796/253 is 4/242627.