GCF of 2876/146, 7910/5155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2876/146, 7910/5155 i.e 2/752630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2876/146, 7910/5155.
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 2876/146,7910/5155?
Given fractions are 2876/146,7910/5155
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 2876/146,7910/5155, numerators are 2876,7910
Denominators are 146,5155
The GCF of 2876,7910 is 2 .
LCM of 146,5155 is 752630.
The greatest common factor of 2876/146,7910/5155 = [GCF of 2876,7910]/[LCM of 146,5155]= 2/752630
Therefore, the GCF of 2876/146,7910/5155 is 2/752630.
To find the highest common factor of 2876,7910, 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 7910 are 1, 2, 5, 7, 10, 14, 35, 70, 113, 226, 565, 791, 1130, 1582, 3955, 7910
The HCF of 2876,7910 is 2.
Lets's calculate GCF of 2876,7910
| 2 | 2876, 7910 |
| 1438, 3955 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2876,7910 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 7910
:1,2,5,7,10,14,35,70,113,226,565,791,1130,1582,3955,7910
Greatest Common Factor
We found the factors 2876,7910 . The biggest common factor number is the GCF number.
So the greatest common factor 2876,7910 is 2.
Lets's calculate LCM of 146,5155
Given numbers has no common factors except 1. So, there LCM is their product i.e 752630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/752630
Therefore, the GCF of Fractions 2876/146,7910/5155 is 2/752630
Least Common Multiple of 146,5155 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 146,5155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,5155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(146,5155) x common factors =1 x 1 = 1
LCM(146,5155) = ( 146 × 5155 ) / 1
LCM(146,5155) = 752630 / 1
LCM(146,5155) = 752630
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FAQs on GCF of Fractions of 2876/146, 7910/5155
1. What is the HCF of 2876,7910?
The HCF of 2876,7910 is 2
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 2876/146, 7910/5155?
Answer: GCF of Numerators as per given numbers 2876/146, 7910/5155 is
GCF of Numerators i.e. for 2876,7910 is 2
LCM of denominators i.e. for 146,5155 is 752630.
Thus, GCF of Fractions is 2/752630.Finally, GCF of Fractions for 2876/146, 7910/5155 is 2/752630.