GCF of 2875/130, 7159/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2875/130, 7159/750 i.e 1/9750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2875/130, 7159/750.
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 2875/130,7159/750?
Given fractions are 2875/130,7159/750
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 2875/130,7159/750, numerators are 2875,7159
Denominators are 130,750
The GCF of 2875,7159 is 1 .
LCM of 130,750 is 9750.
The greatest common factor of 2875/130,7159/750 = [GCF of 2875,7159]/[LCM of 130,750]= 1/9750
Therefore, the GCF of 2875/130,7159/750 is 1/9750.
To find the highest common factor of 2875,7159, we have to find the factors of both numbers and list the highest common factor.
The factors of 2875 are 1, 5, 23, 25, 115, 125, 575, 2875
The factors of 7159 are 1, 7159
The HCF of 2875,7159 is 1.
Lets's calculate GCF of 2875,7159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2875,7159 By Matching Biggest Common Factor Method
Now, list down the factors of 2875
:1,5,23,25,115,125,575,2875
Now, list down the factors of 7159
:1,7159
Greatest Common Factor
We found the factors 2875,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 2875,7159 is 1.
Lets's calculate LCM of 130,750
| 2 | 130, 750 |
| 5 | 65, 375 |
| 13, 75 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 75 = 9750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9750
Therefore, the GCF of Fractions 2875/130,7159/750 is 1/9750
Least Common Multiple of 130,750 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 130,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,750) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(130,750) x common factors =10 x 1 = 10
LCM(130,750) = ( 130 × 750 ) / 10
LCM(130,750) = 97500 / 10
LCM(130,750) = 9750
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FAQs on GCF of Fractions of 2875/130, 7159/750
1. What is the HCF of 2875,7159?
The HCF of 2875,7159 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 2875/130, 7159/750?
Answer: GCF of Numerators as per given numbers 2875/130, 7159/750 is
GCF of Numerators i.e. for 2875,7159 is 1
LCM of denominators i.e. for 130,750 is 9750.
Thus, GCF of Fractions is 1/9750.Finally, GCF of Fractions for 2875/130, 7159/750 is 1/9750.