How to Find GCF of 7386/139, 5095/2834?

GCF of 7386/139, 5095/2834

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 7386/139, 5095/2834 i.e 1/393926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7386/139, 5095/2834.

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 7386/139,5095/2834?

Given fractions are 7386/139,5095/2834

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 7386/139,5095/2834, numerators are 7386,5095

Denominators are 139,2834

The GCF of 7386,5095 is 1 .

LCM of 139,2834 is 393926.

The greatest common factor of 7386/139,5095/2834 = [GCF of 7386,5095]/[LCM of 139,2834]= 1/393926

Therefore, the GCF of 7386/139,5095/2834 is 1/393926.

Greatest Common Factor of 7386,5095

To find the highest common factor of 7386,5095, we have to find the factors of both numbers and list the highest common factor.

The factors of 7386 are 1, 2, 3, 6, 1231, 2462, 3693, 7386

The factors of 5095 are 1, 5, 1019, 5095

The HCF of 7386,5095 is 1.

Lets's calculate GCF of 7386,5095

Greatest Common Factor (GCF) of 7386,5095 By Common Division

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

Greatest Common Factor of 7386,5095 By Matching Biggest Common Factor Method

Now, list down the factors of 7386

1,2,3,6,1231,2462,3693,7386

Now, list down the factors of 5095

1,5,1019,5095

Greatest Common Factor

We found the factors 7386,5095 . The biggest common factor number is the GCF number.
So the greatest common factor 7386,5095 is 1.

Lets's calculate LCM of 139,2834

Lowest Common Multiple of 139,2834 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 393926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393926

Therefore, the GCF of Fractions 7386/139,5095/2834 is 1/393926

Least Common Multiple of 139,2834 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 139,2834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,2834) = 1

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

GCF(139,2834) x common factors =1 x 1 = 1

LCM(139,2834) = ( 139 × 2834 ) / 1

LCM(139,2834) = 393926 / 1

LCM(139,2834) = 393926

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FAQs on GCF of Fractions of 7386/139, 5095/2834

1. What is the HCF of 7386,5095?

The HCF of 7386,5095 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 7386/139, 5095/2834?

Answer: GCF of Numerators as per given numbers 7386/139, 5095/2834 is

GCF of Numerators i.e. for 7386,5095 is 1

LCM of denominators i.e. for 139,2834 is 393926.

Thus, GCF of Fractions is 1/393926.Finally, GCF of Fractions for 7386/139, 5095/2834 is 1/393926.