GCF of 2501/666, 5207/1318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2501/666, 5207/1318 i.e 41/438894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2501/666, 5207/1318.
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 2501/666,5207/1318?
Given fractions are 2501/666,5207/1318
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 2501/666,5207/1318, numerators are 2501,5207
Denominators are 666,1318
The GCF of 2501,5207 is 41 .
LCM of 666,1318 is 438894.
The greatest common factor of 2501/666,5207/1318 = [GCF of 2501,5207]/[LCM of 666,1318]= 41/438894
Therefore, the GCF of 2501/666,5207/1318 is 41/438894.
To find the highest common factor of 2501,5207, we have to find the factors of both numbers and list the highest common factor.
The factors of 2501 are 1, 41, 61, 2501
The factors of 5207 are 1, 41, 127, 5207
The HCF of 2501,5207 is 41.
Lets's calculate GCF of 2501,5207
| 41 | 2501, 5207 |
| 61, 127 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 2501,5207 By Matching Biggest Common Factor Method
Now, list down the factors of 2501
:1,41,61,2501
Now, list down the factors of 5207
:1,41,127,5207
Greatest Common Factor
We found the factors 2501,5207 . The biggest common factor number is the GCF number.
So the greatest common factor 2501,5207 is 41.
Lets's calculate LCM of 666,1318
| 2 | 666, 1318 |
| 333, 659 |
∴ So the LCM of the given numbers is 2 x 333 x 659 = 438894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/438894
Therefore, the GCF of Fractions 2501/666,5207/1318 is 41/438894
Least Common Multiple of 666,1318 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 666,1318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,1318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(666,1318) x common factors =2 x 1 = 2
LCM(666,1318) = ( 666 × 1318 ) / 2
LCM(666,1318) = 877788 / 2
LCM(666,1318) = 438894
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FAQs on GCF of Fractions of 2501/666, 5207/1318
1. What is the HCF of 2501,5207?
The HCF of 2501,5207 is 41
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 2501/666, 5207/1318?
Answer: GCF of Numerators as per given numbers 2501/666, 5207/1318 is
GCF of Numerators i.e. for 2501,5207 is 41
LCM of denominators i.e. for 666,1318 is 438894.
Thus, GCF of Fractions is 41/438894.Finally, GCF of Fractions for 2501/666, 5207/1318 is 41/438894.