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GCF of 3826/310, 5861/5695

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 3826/310, 5861/5695 i.e 1/353090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3826/310, 5861/5695.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3826/310,5861/5695?

Given fractions are 3826/310,5861/5695

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 3826/310,5861/5695, numerators are 3826,5861

Denominators are 310,5695

The GCF of 3826,5861 is 1 .

LCM of 310,5695 is 353090.

The greatest common factor of 3826/310,5861/5695 = [GCF of 3826,5861]/[LCM of 310,5695]= 1/353090

Therefore, the GCF of 3826/310,5861/5695 is 1/353090.

Greatest Common Factor of 3826,5861

To find the highest common factor of 3826,5861, we have to find the factors of both numbers and list the highest common factor.

The factors of 3826 are 1, 2, 1913, 3826

The factors of 5861 are 1, 5861

The HCF of 3826,5861 is 1.

Lets's calculate GCF of 3826,5861

Greatest Common Factor (GCF) of 3826,5861 By Common Division

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

Greatest Common Factor of 3826,5861 By Matching Biggest Common Factor Method

Greatest Common Factor of 3826,5861 By Matching Biggest Common Factor Method

Now, list down the factors of 3826

:

1,2,1913,3826

Now, list down the factors of 5861

:

1,5861

Greatest Common Factor

We found the factors 3826,5861 . The biggest common factor number is the GCF number.
So the greatest common factor 3826,5861 is 1.

Lets's calculate LCM of 310,5695

Lowest Common Multiple of 310,5695 using Common Division

5 310, 5695
62, 1139

∴ So the LCM of the given numbers is 5 x 62 x 1139 = 353090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353090

Therefore, the GCF of Fractions 3826/310,5861/5695 is 1/353090

Least Common Multiple of 310,5695 with GCF Formula

Least Common Multiple of 310,5695 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 310,5695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,5695) = 5

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

GCF(310,5695) x common factors =5 x 1 = 5

LCM(310,5695) = ( 310 × 5695 ) / 5

LCM(310,5695) = 1765450 / 5

LCM(310,5695) = 353090


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FAQs on GCF of Fractions of 3826/310, 5861/5695

1. What is the HCF of 3826,5861?

The HCF of 3826,5861 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 3826/310, 5861/5695?

Answer: GCF of Numerators as per given numbers 3826/310, 5861/5695 is

GCF of Numerators i.e. for 3826,5861 is 1

LCM of denominators i.e. for 310,5695 is 353090.

Thus, GCF of Fractions is 1/353090.Finally, GCF of Fractions for 3826/310, 5861/5695 is 1/353090.