How to Find GCF of 7132/696, 2207/3778?

GCF of 7132/696, 2207/3778

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 7132/696, 2207/3778 i.e 1/1314744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7132/696, 2207/3778.

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 7132/696,2207/3778?

Given fractions are 7132/696,2207/3778

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 7132/696,2207/3778, numerators are 7132,2207

Denominators are 696,3778

The GCF of 7132,2207 is 1 .

LCM of 696,3778 is 1314744.

The greatest common factor of 7132/696,2207/3778 = [GCF of 7132,2207]/[LCM of 696,3778]= 1/1314744

Therefore, the GCF of 7132/696,2207/3778 is 1/1314744.

Greatest Common Factor of 7132,2207

To find the highest common factor of 7132,2207, we have to find the factors of both numbers and list the highest common factor.

The factors of 7132 are 1, 2, 4, 1783, 3566, 7132

The factors of 2207 are 1, 2207

The HCF of 7132,2207 is 1.

Lets's calculate GCF of 7132,2207

Greatest Common Factor (GCF) of 7132,2207 By Common Division

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

Greatest Common Factor of 7132,2207 By Matching Biggest Common Factor Method

Now, list down the factors of 7132

1,2,4,1783,3566,7132

Now, list down the factors of 2207

1,2207

Greatest Common Factor

We found the factors 7132,2207 . The biggest common factor number is the GCF number.
So the greatest common factor 7132,2207 is 1.

Lets's calculate LCM of 696,3778

Lowest Common Multiple of 696,3778 using Common Division

2	696, 3778
	348, 1889

∴ So the LCM of the given numbers is 2 x 348 x 1889 = 1314744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1314744

Therefore, the GCF of Fractions 7132/696,2207/3778 is 1/1314744

Least Common Multiple of 696,3778 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 696,3778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,3778) = 2

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

GCF(696,3778) x common factors =2 x 1 = 2

LCM(696,3778) = ( 696 × 3778 ) / 2

LCM(696,3778) = 2629488 / 2

LCM(696,3778) = 1314744

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FAQs on GCF of Fractions of 7132/696, 2207/3778

1. What is the HCF of 7132,2207?

The HCF of 7132,2207 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 7132/696, 2207/3778?

Answer: GCF of Numerators as per given numbers 7132/696, 2207/3778 is

GCF of Numerators i.e. for 7132,2207 is 1

LCM of denominators i.e. for 696,3778 is 1314744.

Thus, GCF of Fractions is 1/1314744.Finally, GCF of Fractions for 7132/696, 2207/3778 is 1/1314744.