GCF of 876/948, 250/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 876/948, 250/488 i.e 2/115656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/948, 250/488.
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 876/948,250/488?
Given fractions are 876/948,250/488
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 876/948,250/488, numerators are 876,250
Denominators are 948,488
The GCF of 876,250 is 2 .
LCM of 948,488 is 115656.
The greatest common factor of 876/948,250/488 = [GCF of 876,250]/[LCM of 948,488]= 2/115656
Therefore, the GCF of 876/948,250/488 is 2/115656.
To find the highest common factor of 876,250, we have to find the factors of both numbers and list the highest common factor.
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
The HCF of 876,250 is 2.
Lets's calculate GCF of 876,250
| 2 | 876, 250 |
| 438, 125 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 876,250 By Matching Biggest Common Factor Method
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 876,250 . The biggest common factor number is the GCF number.
So the greatest common factor 876,250 is 2.
Lets's calculate LCM of 948,488
| 2 | 948, 488 |
| 2 | 474, 244 |
| 237, 122 |
∴ So the LCM of the given numbers is 2 x 2 x 237 x 122 = 115656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115656
Therefore, the GCF of Fractions 876/948,250/488 is 2/115656
Least Common Multiple of 948,488 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 948,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,488) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(948,488) x common factors =4 x 1 = 4
LCM(948,488) = ( 948 × 488 ) / 4
LCM(948,488) = 462624 / 4
LCM(948,488) = 115656
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FAQs on GCF of Fractions of 876/948, 250/488
1. What is the HCF of 876,250?
The HCF of 876,250 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 876/948, 250/488?
Answer: GCF of Numerators as per given numbers 876/948, 250/488 is
GCF of Numerators i.e. for 876,250 is 2
LCM of denominators i.e. for 948,488 is 115656.
Thus, GCF of Fractions is 2/115656.Finally, GCF of Fractions for 876/948, 250/488 is 2/115656.