How to Find GCF of 5522/813, 7966/7141?

GCF of 5522/813, 7966/7141

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 5522/813, 7966/7141 i.e 2/5805633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5522/813, 7966/7141.

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 5522/813,7966/7141?

Given fractions are 5522/813,7966/7141

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 5522/813,7966/7141, numerators are 5522,7966

Denominators are 813,7141

The GCF of 5522,7966 is 2 .

LCM of 813,7141 is 5805633.

The greatest common factor of 5522/813,7966/7141 = [GCF of 5522,7966]/[LCM of 813,7141]= 2/5805633

Therefore, the GCF of 5522/813,7966/7141 is 2/5805633.

Greatest Common Factor of 5522,7966

To find the highest common factor of 5522,7966, we have to find the factors of both numbers and list the highest common factor.

The factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522

The factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966

The HCF of 5522,7966 is 2.

Lets's calculate GCF of 5522,7966

Greatest Common Factor (GCF) of 5522,7966 By Common Division

2	5522, 7966
	2761, 3983

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

Greatest Common Factor of 5522,7966 By Matching Biggest Common Factor Method

Now, list down the factors of 5522

1,2,11,22,251,502,2761,5522

Now, list down the factors of 7966

1,2,7,14,569,1138,3983,7966

Greatest Common Factor

We found the factors 5522,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 5522,7966 is 2.

Lets's calculate LCM of 813,7141

Lowest Common Multiple of 813,7141 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5805633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5805633

Therefore, the GCF of Fractions 5522/813,7966/7141 is 2/5805633

Least Common Multiple of 813,7141 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 813,7141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,7141) = 1

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

GCF(813,7141) x common factors =1 x 1 = 1

LCM(813,7141) = ( 813 × 7141 ) / 1

LCM(813,7141) = 5805633 / 1

LCM(813,7141) = 5805633

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FAQs on GCF of Fractions of 5522/813, 7966/7141

1. What is the HCF of 5522,7966?

The HCF of 5522,7966 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 5522/813, 7966/7141?

Answer: GCF of Numerators as per given numbers 5522/813, 7966/7141 is

GCF of Numerators i.e. for 5522,7966 is 2

LCM of denominators i.e. for 813,7141 is 5805633.

Thus, GCF of Fractions is 2/5805633.Finally, GCF of Fractions for 5522/813, 7966/7141 is 2/5805633.