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GCF of 4517/210, 6259/4531

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 4517/210, 6259/4531 i.e 1/951510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4517/210, 6259/4531.

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 4517/210,6259/4531?

Given fractions are 4517/210,6259/4531

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 4517/210,6259/4531, numerators are 4517,6259

Denominators are 210,4531

The GCF of 4517,6259 is 1 .

LCM of 210,4531 is 951510.

The greatest common factor of 4517/210,6259/4531 = [GCF of 4517,6259]/[LCM of 210,4531]= 1/951510

Therefore, the GCF of 4517/210,6259/4531 is 1/951510.

Greatest Common Factor of 4517,6259

To find the highest common factor of 4517,6259, we have to find the factors of both numbers and list the highest common factor.

The factors of 4517 are 1, 4517

The factors of 6259 are 1, 11, 569, 6259

The HCF of 4517,6259 is 1.

Lets's calculate GCF of 4517,6259

Greatest Common Factor (GCF) of 4517,6259 By Common Division

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

Greatest Common Factor of 4517,6259 By Matching Biggest Common Factor Method

Greatest Common Factor of 4517,6259 By Matching Biggest Common Factor Method

Now, list down the factors of 4517

:

1,4517

Now, list down the factors of 6259

:

1,11,569,6259

Greatest Common Factor

We found the factors 4517,6259 . The biggest common factor number is the GCF number.
So the greatest common factor 4517,6259 is 1.

Lets's calculate LCM of 210,4531

Lowest Common Multiple of 210,4531 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 951510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/951510

Therefore, the GCF of Fractions 4517/210,6259/4531 is 1/951510

Least Common Multiple of 210,4531 with GCF Formula

Least Common Multiple of 210,4531 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 210,4531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,4531) = 1

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

GCF(210,4531) x common factors =1 x 1 = 1

LCM(210,4531) = ( 210 × 4531 ) / 1

LCM(210,4531) = 951510 / 1

LCM(210,4531) = 951510


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FAQs on GCF of Fractions of 4517/210, 6259/4531

1. What is the HCF of 4517,6259?

The HCF of 4517,6259 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 4517/210, 6259/4531?

Answer: GCF of Numerators as per given numbers 4517/210, 6259/4531 is

GCF of Numerators i.e. for 4517,6259 is 1

LCM of denominators i.e. for 210,4531 is 951510.

Thus, GCF of Fractions is 1/951510.Finally, GCF of Fractions for 4517/210, 6259/4531 is 1/951510.