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GCF of 1867/995, 8879/7849

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 1867/995, 8879/7849 i.e 1/7809755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1867/995, 8879/7849.

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 1867/995,8879/7849?

Given fractions are 1867/995,8879/7849

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 1867/995,8879/7849, numerators are 1867,8879

Denominators are 995,7849

The GCF of 1867,8879 is 1 .

LCM of 995,7849 is 7809755.

The greatest common factor of 1867/995,8879/7849 = [GCF of 1867,8879]/[LCM of 995,7849]= 1/7809755

Therefore, the GCF of 1867/995,8879/7849 is 1/7809755.

Greatest Common Factor of 1867,8879

To find the highest common factor of 1867,8879, we have to find the factors of both numbers and list the highest common factor.

The factors of 1867 are 1, 1867

The factors of 8879 are 1, 13, 683, 8879

The HCF of 1867,8879 is 1.

Lets's calculate GCF of 1867,8879

Greatest Common Factor (GCF) of 1867,8879 By Common Division

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

Greatest Common Factor of 1867,8879 By Matching Biggest Common Factor Method

Greatest Common Factor of 1867,8879 By Matching Biggest Common Factor Method

Now, list down the factors of 1867

:

1,1867

Now, list down the factors of 8879

:

1,13,683,8879

Greatest Common Factor

We found the factors 1867,8879 . The biggest common factor number is the GCF number.
So the greatest common factor 1867,8879 is 1.

Lets's calculate LCM of 995,7849

Lowest Common Multiple of 995,7849 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7809755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7809755

Therefore, the GCF of Fractions 1867/995,8879/7849 is 1/7809755

Least Common Multiple of 995,7849 with GCF Formula

Least Common Multiple of 995,7849 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 995,7849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,7849) = 1

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

GCF(995,7849) x common factors =1 x 1 = 1

LCM(995,7849) = ( 995 × 7849 ) / 1

LCM(995,7849) = 7809755 / 1

LCM(995,7849) = 7809755


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FAQs on GCF of Fractions of 1867/995, 8879/7849

1. What is the HCF of 1867,8879?

The HCF of 1867,8879 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 1867/995, 8879/7849?

Answer: GCF of Numerators as per given numbers 1867/995, 8879/7849 is

GCF of Numerators i.e. for 1867,8879 is 1

LCM of denominators i.e. for 995,7849 is 7809755.

Thus, GCF of Fractions is 1/7809755.Finally, GCF of Fractions for 1867/995, 8879/7849 is 1/7809755.