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GCF of 415/661, 650/178

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 415/661, 650/178 i.e 5/117658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 415/661, 650/178.

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 415/661,650/178?

Given fractions are 415/661,650/178

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 415/661,650/178, numerators are 415,650

Denominators are 661,178

The GCF of 415,650 is 5 .

LCM of 661,178 is 117658.

The greatest common factor of 415/661,650/178 = [GCF of 415,650]/[LCM of 661,178]= 5/117658

Therefore, the GCF of 415/661,650/178 is 5/117658.

Greatest Common Factor of 415,650

To find the highest common factor of 415,650, we have to find the factors of both numbers and list the highest common factor.

The factors of 415 are 1, 5, 83, 415

The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

The HCF of 415,650 is 5.

Lets's calculate GCF of 415,650

Greatest Common Factor (GCF) of 415,650 By Common Division

5 415, 650
83, 130

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 415,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,650 By Matching Biggest Common Factor Method

Now, list down the factors of 415

:

1,5,83,415

Now, list down the factors of 650

:

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 415,650 . The biggest common factor number is the GCF number.
So the greatest common factor 415,650 is 5.

Lets's calculate LCM of 661,178

Lowest Common Multiple of 661,178 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 117658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/117658

Therefore, the GCF of Fractions 415/661,650/178 is 5/117658

Least Common Multiple of 661,178 with GCF Formula

Least Common Multiple of 661,178 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 661,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,178) = 1

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

GCF(661,178) x common factors =1 x 1 = 1

LCM(661,178) = ( 661 × 178 ) / 1

LCM(661,178) = 117658 / 1

LCM(661,178) = 117658


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FAQs on GCF of Fractions of 415/661, 650/178

1. What is the HCF of 415,650?

The HCF of 415,650 is 5

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 415/661, 650/178?

Answer: GCF of Numerators as per given numbers 415/661, 650/178 is

GCF of Numerators i.e. for 415,650 is 5

LCM of denominators i.e. for 661,178 is 117658.

Thus, GCF of Fractions is 5/117658.Finally, GCF of Fractions for 415/661, 650/178 is 5/117658.