How to Find GCF of 2122/695, 6114/8104?

GCF of 2122/695, 6114/8104

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 2122/695, 6114/8104 i.e 2/5632280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2122/695, 6114/8104.

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 2122/695,6114/8104?

Given fractions are 2122/695,6114/8104

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 2122/695,6114/8104, numerators are 2122,6114

Denominators are 695,8104

The GCF of 2122,6114 is 2 .

LCM of 695,8104 is 5632280.

The greatest common factor of 2122/695,6114/8104 = [GCF of 2122,6114]/[LCM of 695,8104]= 2/5632280

Therefore, the GCF of 2122/695,6114/8104 is 2/5632280.

Greatest Common Factor of 2122,6114

To find the highest common factor of 2122,6114, we have to find the factors of both numbers and list the highest common factor.

The factors of 2122 are 1, 2, 1061, 2122

The factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114

The HCF of 2122,6114 is 2.

Lets's calculate GCF of 2122,6114

Greatest Common Factor (GCF) of 2122,6114 By Common Division

2	2122, 6114
	1061, 3057

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

Greatest Common Factor of 2122,6114 By Matching Biggest Common Factor Method

Now, list down the factors of 2122

1,2,1061,2122

Now, list down the factors of 6114

1,2,3,6,1019,2038,3057,6114

Greatest Common Factor

We found the factors 2122,6114 . The biggest common factor number is the GCF number.
So the greatest common factor 2122,6114 is 2.

Lets's calculate LCM of 695,8104

Lowest Common Multiple of 695,8104 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5632280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5632280

Therefore, the GCF of Fractions 2122/695,6114/8104 is 2/5632280

Least Common Multiple of 695,8104 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 695,8104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,8104) = 1

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

GCF(695,8104) x common factors =1 x 1 = 1

LCM(695,8104) = ( 695 × 8104 ) / 1

LCM(695,8104) = 5632280 / 1

LCM(695,8104) = 5632280

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FAQs on GCF of Fractions of 2122/695, 6114/8104

1. What is the HCF of 2122,6114?

The HCF of 2122,6114 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 2122/695, 6114/8104?

Answer: GCF of Numerators as per given numbers 2122/695, 6114/8104 is

GCF of Numerators i.e. for 2122,6114 is 2

LCM of denominators i.e. for 695,8104 is 5632280.

Thus, GCF of Fractions is 2/5632280.Finally, GCF of Fractions for 2122/695, 6114/8104 is 2/5632280.