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GCF of 617/410, 521/949

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 617/410, 521/949 i.e 1/389090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 617/410, 521/949.

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 617/410,521/949?

Given fractions are 617/410,521/949

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 617/410,521/949, numerators are 617,521

Denominators are 410,949

The GCF of 617,521 is 1 .

LCM of 410,949 is 389090.

The greatest common factor of 617/410,521/949 = [GCF of 617,521]/[LCM of 410,949]= 1/389090

Therefore, the GCF of 617/410,521/949 is 1/389090.

Greatest Common Factor of 617,521

To find the highest common factor of 617,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 617 are 1, 617

The factors of 521 are 1, 521

The HCF of 617,521 is 1.

Lets's calculate GCF of 617,521

Greatest Common Factor (GCF) of 617,521 By Common Division

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

Greatest Common Factor of 617,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,521 By Matching Biggest Common Factor Method

Now, list down the factors of 617

:

1,617

Now, list down the factors of 521

:

1,521

Greatest Common Factor

We found the factors 617,521 . The biggest common factor number is the GCF number.
So the greatest common factor 617,521 is 1.

Lets's calculate LCM of 410,949

Lowest Common Multiple of 410,949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 389090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389090

Therefore, the GCF of Fractions 617/410,521/949 is 1/389090

Least Common Multiple of 410,949 with GCF Formula

Least Common Multiple of 410,949 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 410,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,949) = 1

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

GCF(410,949) x common factors =1 x 1 = 1

LCM(410,949) = ( 410 × 949 ) / 1

LCM(410,949) = 389090 / 1

LCM(410,949) = 389090


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FAQs on GCF of Fractions of 617/410, 521/949

1. What is the HCF of 617,521?

The HCF of 617,521 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 617/410, 521/949?

Answer: GCF of Numerators as per given numbers 617/410, 521/949 is

GCF of Numerators i.e. for 617,521 is 1

LCM of denominators i.e. for 410,949 is 389090.

Thus, GCF of Fractions is 1/389090.Finally, GCF of Fractions for 617/410, 521/949 is 1/389090.