GCF of 2791/702, 7952/481
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2791/702, 7952/481 i.e 1/25974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2791/702, 7952/481.
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 2791/702,7952/481?
Given fractions are 2791/702,7952/481
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 2791/702,7952/481, numerators are 2791,7952
Denominators are 702,481
The GCF of 2791,7952 is 1 .
LCM of 702,481 is 25974.
The greatest common factor of 2791/702,7952/481 = [GCF of 2791,7952]/[LCM of 702,481]= 1/25974
Therefore, the GCF of 2791/702,7952/481 is 1/25974.
To find the highest common factor of 2791,7952, we have to find the factors of both numbers and list the highest common factor.
The factors of 2791 are 1, 2791
The factors of 7952 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 71, 112, 142, 284, 497, 568, 994, 1136, 1988, 3976, 7952
The HCF of 2791,7952 is 1.
Lets's calculate GCF of 2791,7952
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2791,7952 By Matching Biggest Common Factor Method
Now, list down the factors of 2791
:1,2791
Now, list down the factors of 7952
:1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952
Greatest Common Factor
We found the factors 2791,7952 . The biggest common factor number is the GCF number.
So the greatest common factor 2791,7952 is 1.
Lets's calculate LCM of 702,481
| 13 | 702, 481 |
| 54, 37 |
∴ So the LCM of the given numbers is 13 x 54 x 37 = 25974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25974
Therefore, the GCF of Fractions 2791/702,7952/481 is 1/25974
Least Common Multiple of 702,481 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 702,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,481) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(702,481) x common factors =13 x 1 = 13
LCM(702,481) = ( 702 × 481 ) / 13
LCM(702,481) = 337662 / 13
LCM(702,481) = 25974
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FAQs on GCF of Fractions of 2791/702, 7952/481
1. What is the HCF of 2791,7952?
The HCF of 2791,7952 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 2791/702, 7952/481?
Answer: GCF of Numerators as per given numbers 2791/702, 7952/481 is
GCF of Numerators i.e. for 2791,7952 is 1
LCM of denominators i.e. for 702,481 is 25974.
Thus, GCF of Fractions is 1/25974.Finally, GCF of Fractions for 2791/702, 7952/481 is 1/25974.