How to Find GCF of 2231/696, 2600/348?

GCF of 2231/696, 2600/348

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 2231/696, 2600/348 i.e 1/696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2231/696, 2600/348.

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 2231/696,2600/348?

Given fractions are 2231/696,2600/348

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 2231/696,2600/348, numerators are 2231,2600

Denominators are 696,348

The GCF of 2231,2600 is 1 .

LCM of 696,348 is 696.

The greatest common factor of 2231/696,2600/348 = [GCF of 2231,2600]/[LCM of 696,348]= 1/696

Therefore, the GCF of 2231/696,2600/348 is 1/696.

Greatest Common Factor of 2231,2600

To find the highest common factor of 2231,2600, we have to find the factors of both numbers and list the highest common factor.

The factors of 2231 are 1, 23, 97, 2231

The factors of 2600 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600

The HCF of 2231,2600 is 1.

Lets's calculate GCF of 2231,2600

Greatest Common Factor (GCF) of 2231,2600 By Common Division

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

Greatest Common Factor of 2231,2600 By Matching Biggest Common Factor Method

Now, list down the factors of 2231

1,23,97,2231

Now, list down the factors of 2600

1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600

Greatest Common Factor

We found the factors 2231,2600 . The biggest common factor number is the GCF number.
So the greatest common factor 2231,2600 is 1.

Lets's calculate LCM of 696,348

Lowest Common Multiple of 696,348 using Common Division

2	696, 348
2	348, 174
3	87, 174
29	29, 58
	1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 1 x 2 = 696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/696

Therefore, the GCF of Fractions 2231/696,2600/348 is 1/696

Least Common Multiple of 696,348 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 696,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,348) = 348

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

GCF(696,348) x common factors =348 x 1 = 348

LCM(696,348) = ( 696 × 348 ) / 348

LCM(696,348) = 242208 / 348

LCM(696,348) = 696

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FAQs on GCF of Fractions of 2231/696, 2600/348

1. What is the HCF of 2231,2600?

The HCF of 2231,2600 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 2231/696, 2600/348?

Answer: GCF of Numerators as per given numbers 2231/696, 2600/348 is

GCF of Numerators i.e. for 2231,2600 is 1

LCM of denominators i.e. for 696,348 is 696.

Thus, GCF of Fractions is 1/696.Finally, GCF of Fractions for 2231/696, 2600/348 is 1/696.