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GCF of 617/904, 391/219

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 617/904, 391/219 i.e 1/197976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 617/904, 391/219.

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 617/904,391/219?

Given fractions are 617/904,391/219

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 617/904,391/219, numerators are 617,391

Denominators are 904,219

The GCF of 617,391 is 1 .

LCM of 904,219 is 197976.

The greatest common factor of 617/904,391/219 = [GCF of 617,391]/[LCM of 904,219]= 1/197976

Therefore, the GCF of 617/904,391/219 is 1/197976.

Greatest Common Factor of 617,391

To find the highest common factor of 617,391, 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 391 are 1, 17, 23, 391

The HCF of 617,391 is 1.

Lets's calculate GCF of 617,391

Greatest Common Factor (GCF) of 617,391 By Common Division

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

Greatest Common Factor of 617,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,391 By Matching Biggest Common Factor Method

Now, list down the factors of 617

:

1,617

Now, list down the factors of 391

:

1,17,23,391

Greatest Common Factor

We found the factors 617,391 . The biggest common factor number is the GCF number.
So the greatest common factor 617,391 is 1.

Lets's calculate LCM of 904,219

Lowest Common Multiple of 904,219 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 197976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197976

Therefore, the GCF of Fractions 617/904,391/219 is 1/197976

Least Common Multiple of 904,219 with GCF Formula

Least Common Multiple of 904,219 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 904,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,219) = 1

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

GCF(904,219) x common factors =1 x 1 = 1

LCM(904,219) = ( 904 × 219 ) / 1

LCM(904,219) = 197976 / 1

LCM(904,219) = 197976


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FAQs on GCF of Fractions of 617/904, 391/219

1. What is the HCF of 617,391?

The HCF of 617,391 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 617/904, 391/219?

Answer: GCF of Numerators as per given numbers 617/904, 391/219 is

GCF of Numerators i.e. for 617,391 is 1

LCM of denominators i.e. for 904,219 is 197976.

Thus, GCF of Fractions is 1/197976.Finally, GCF of Fractions for 617/904, 391/219 is 1/197976.