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GCF of 610/360, 4826/991

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 610/360, 4826/991 i.e 2/356760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 610/360, 4826/991.

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 610/360,4826/991?

Given fractions are 610/360,4826/991

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 610/360,4826/991, numerators are 610,4826

Denominators are 360,991

The GCF of 610,4826 is 2 .

LCM of 360,991 is 356760.

The greatest common factor of 610/360,4826/991 = [GCF of 610,4826]/[LCM of 360,991]= 2/356760

Therefore, the GCF of 610/360,4826/991 is 2/356760.

Greatest Common Factor of 610,4826

To find the highest common factor of 610,4826, we have to find the factors of both numbers and list the highest common factor.

The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610

The factors of 4826 are 1, 2, 19, 38, 127, 254, 2413, 4826

The HCF of 610,4826 is 2.

Lets's calculate GCF of 610,4826

Greatest Common Factor (GCF) of 610,4826 By Common Division

2 610, 4826
305, 2413

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

Greatest Common Factor of 610,4826 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,4826 By Matching Biggest Common Factor Method

Now, list down the factors of 610

:

1,2,5,10,61,122,305,610

Now, list down the factors of 4826

:

1,2,19,38,127,254,2413,4826

Greatest Common Factor

We found the factors 610,4826 . The biggest common factor number is the GCF number.
So the greatest common factor 610,4826 is 2.

Lets's calculate LCM of 360,991

Lowest Common Multiple of 360,991 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 356760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/356760

Therefore, the GCF of Fractions 610/360,4826/991 is 2/356760

Least Common Multiple of 360,991 with GCF Formula

Least Common Multiple of 360,991 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 360,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,991) = 1

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

GCF(360,991) x common factors =1 x 1 = 1

LCM(360,991) = ( 360 × 991 ) / 1

LCM(360,991) = 356760 / 1

LCM(360,991) = 356760


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FAQs on GCF of Fractions of 610/360, 4826/991

1. What is the HCF of 610,4826?

The HCF of 610,4826 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 610/360, 4826/991?

Answer: GCF of Numerators as per given numbers 610/360, 4826/991 is

GCF of Numerators i.e. for 610,4826 is 2

LCM of denominators i.e. for 360,991 is 356760.

Thus, GCF of Fractions is 2/356760.Finally, GCF of Fractions for 610/360, 4826/991 is 2/356760.