GCF of 2876/878, 8125/2139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2876/878, 8125/2139 i.e 1/1878042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2876/878, 8125/2139.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2876/878,8125/2139?
Given fractions are 2876/878,8125/2139
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 2876/878,8125/2139, numerators are 2876,8125
Denominators are 878,2139
The GCF of 2876,8125 is 1 .
LCM of 878,2139 is 1878042.
The greatest common factor of 2876/878,8125/2139 = [GCF of 2876,8125]/[LCM of 878,2139]= 1/1878042
Therefore, the GCF of 2876/878,8125/2139 is 1/1878042.
To find the highest common factor of 2876,8125, we have to find the factors of both numbers and list the highest common factor.
The factors of 2876 are 1, 2, 4, 719, 1438, 2876
The factors of 8125 are 1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125
The HCF of 2876,8125 is 1.
Lets's calculate GCF of 2876,8125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2876,8125 By Matching Biggest Common Factor Method
Now, list down the factors of 2876
:1,2,4,719,1438,2876
Now, list down the factors of 8125
:1,5,13,25,65,125,325,625,1625,8125
Greatest Common Factor
We found the factors 2876,8125 . The biggest common factor number is the GCF number.
So the greatest common factor 2876,8125 is 1.
Lets's calculate LCM of 878,2139
Given numbers has no common factors except 1. So, there LCM is their product i.e 1878042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1878042
Therefore, the GCF of Fractions 2876/878,8125/2139 is 1/1878042
Least Common Multiple of 878,2139 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 878,2139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,2139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(878,2139) x common factors =1 x 1 = 1
LCM(878,2139) = ( 878 × 2139 ) / 1
LCM(878,2139) = 1878042 / 1
LCM(878,2139) = 1878042
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FAQs on GCF of Fractions of 2876/878, 8125/2139
1. What is the HCF of 2876,8125?
The HCF of 2876,8125 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 2876/878, 8125/2139?
Answer: GCF of Numerators as per given numbers 2876/878, 8125/2139 is
GCF of Numerators i.e. for 2876,8125 is 1
LCM of denominators i.e. for 878,2139 is 1878042.
Thus, GCF of Fractions is 1/1878042.Finally, GCF of Fractions for 2876/878, 8125/2139 is 1/1878042.