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GCF of 9019/950, 8391/625

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 9019/950, 8391/625 i.e 1/23750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9019/950, 8391/625.

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 9019/950,8391/625?

Given fractions are 9019/950,8391/625

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 9019/950,8391/625, numerators are 9019,8391

Denominators are 950,625

The GCF of 9019,8391 is 1 .

LCM of 950,625 is 23750.

The greatest common factor of 9019/950,8391/625 = [GCF of 9019,8391]/[LCM of 950,625]= 1/23750

Therefore, the GCF of 9019/950,8391/625 is 1/23750.

Greatest Common Factor of 9019,8391

To find the highest common factor of 9019,8391, we have to find the factors of both numbers and list the highest common factor.

The factors of 9019 are 1, 29, 311, 9019

The factors of 8391 are 1, 3, 2797, 8391

The HCF of 9019,8391 is 1.

Lets's calculate GCF of 9019,8391

Greatest Common Factor (GCF) of 9019,8391 By Common Division

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

Greatest Common Factor of 9019,8391 By Matching Biggest Common Factor Method

Greatest Common Factor of 9019,8391 By Matching Biggest Common Factor Method

Now, list down the factors of 9019

:

1,29,311,9019

Now, list down the factors of 8391

:

1,3,2797,8391

Greatest Common Factor

We found the factors 9019,8391 . The biggest common factor number is the GCF number.
So the greatest common factor 9019,8391 is 1.

Lets's calculate LCM of 950,625

Lowest Common Multiple of 950,625 using Common Division

5 950, 625
5 190, 125
38, 25

∴ So the LCM of the given numbers is 5 x 5 x 38 x 25 = 23750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23750

Therefore, the GCF of Fractions 9019/950,8391/625 is 1/23750

Least Common Multiple of 950,625 with GCF Formula

Least Common Multiple of 950,625 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 950,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,625) = 25

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

GCF(950,625) x common factors =25 x 1 = 25

LCM(950,625) = ( 950 × 625 ) / 25

LCM(950,625) = 593750 / 25

LCM(950,625) = 23750


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FAQs on GCF of Fractions of 9019/950, 8391/625

1. What is the HCF of 9019,8391?

The HCF of 9019,8391 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 9019/950, 8391/625?

Answer: GCF of Numerators as per given numbers 9019/950, 8391/625 is

GCF of Numerators i.e. for 9019,8391 is 1

LCM of denominators i.e. for 950,625 is 23750.

Thus, GCF of Fractions is 1/23750.Finally, GCF of Fractions for 9019/950, 8391/625 is 1/23750.