How to Find GCF of 7886/374, 6869/8278?

GCF of 7886/374, 6869/8278

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 7886/374, 6869/8278 i.e 1/1547986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7886/374, 6869/8278.

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 7886/374,6869/8278?

Given fractions are 7886/374,6869/8278

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 7886/374,6869/8278, numerators are 7886,6869

Denominators are 374,8278

The GCF of 7886,6869 is 1 .

LCM of 374,8278 is 1547986.

The greatest common factor of 7886/374,6869/8278 = [GCF of 7886,6869]/[LCM of 374,8278]= 1/1547986

Therefore, the GCF of 7886/374,6869/8278 is 1/1547986.

Greatest Common Factor of 7886,6869

To find the highest common factor of 7886,6869, we have to find the factors of both numbers and list the highest common factor.

The factors of 7886 are 1, 2, 3943, 7886

The factors of 6869 are 1, 6869

The HCF of 7886,6869 is 1.

Lets's calculate GCF of 7886,6869

Greatest Common Factor (GCF) of 7886,6869 By Common Division

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

Greatest Common Factor of 7886,6869 By Matching Biggest Common Factor Method

Now, list down the factors of 7886

1,2,3943,7886

Now, list down the factors of 6869

1,6869

Greatest Common Factor

We found the factors 7886,6869 . The biggest common factor number is the GCF number.
So the greatest common factor 7886,6869 is 1.

Lets's calculate LCM of 374,8278

Lowest Common Multiple of 374,8278 using Common Division

2	374, 8278
	187, 4139

∴ So the LCM of the given numbers is 2 x 187 x 4139 = 1547986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1547986

Therefore, the GCF of Fractions 7886/374,6869/8278 is 1/1547986

Least Common Multiple of 374,8278 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 374,8278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,8278) = 2

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

GCF(374,8278) x common factors =2 x 1 = 2

LCM(374,8278) = ( 374 × 8278 ) / 2

LCM(374,8278) = 3095972 / 2

LCM(374,8278) = 1547986

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FAQs on GCF of Fractions of 7886/374, 6869/8278

1. What is the HCF of 7886,6869?

The HCF of 7886,6869 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 7886/374, 6869/8278?

Answer: GCF of Numerators as per given numbers 7886/374, 6869/8278 is

GCF of Numerators i.e. for 7886,6869 is 1

LCM of denominators i.e. for 374,8278 is 1547986.

Thus, GCF of Fractions is 1/1547986.Finally, GCF of Fractions for 7886/374, 6869/8278 is 1/1547986.