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GCF of 625/417, 4549/118

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 625/417, 4549/118 i.e 1/49206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 625/417, 4549/118.

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 625/417,4549/118?

Given fractions are 625/417,4549/118

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 625/417,4549/118, numerators are 625,4549

Denominators are 417,118

The GCF of 625,4549 is 1 .

LCM of 417,118 is 49206.

The greatest common factor of 625/417,4549/118 = [GCF of 625,4549]/[LCM of 417,118]= 1/49206

Therefore, the GCF of 625/417,4549/118 is 1/49206.

Greatest Common Factor of 625,4549

To find the highest common factor of 625,4549, we have to find the factors of both numbers and list the highest common factor.

The factors of 625 are 1, 5, 25, 125, 625

The factors of 4549 are 1, 4549

The HCF of 625,4549 is 1.

Lets's calculate GCF of 625,4549

Greatest Common Factor (GCF) of 625,4549 By Common Division

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

Greatest Common Factor of 625,4549 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,4549 By Matching Biggest Common Factor Method

Now, list down the factors of 625

:

1,5,25,125,625

Now, list down the factors of 4549

:

1,4549

Greatest Common Factor

We found the factors 625,4549 . The biggest common factor number is the GCF number.
So the greatest common factor 625,4549 is 1.

Lets's calculate LCM of 417,118

Lowest Common Multiple of 417,118 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 49206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49206

Therefore, the GCF of Fractions 625/417,4549/118 is 1/49206

Least Common Multiple of 417,118 with GCF Formula

Least Common Multiple of 417,118 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 417,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,118) = 1

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

GCF(417,118) x common factors =1 x 1 = 1

LCM(417,118) = ( 417 × 118 ) / 1

LCM(417,118) = 49206 / 1

LCM(417,118) = 49206


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FAQs on GCF of Fractions of 625/417, 4549/118

1. What is the HCF of 625,4549?

The HCF of 625,4549 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 625/417, 4549/118?

Answer: GCF of Numerators as per given numbers 625/417, 4549/118 is

GCF of Numerators i.e. for 625,4549 is 1

LCM of denominators i.e. for 417,118 is 49206.

Thus, GCF of Fractions is 1/49206.Finally, GCF of Fractions for 625/417, 4549/118 is 1/49206.