GCF of 7526/972, 7791/8307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7526/972, 7791/8307 i.e 53/897156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7526/972, 7791/8307.
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 7526/972,7791/8307?
Given fractions are 7526/972,7791/8307
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 7526/972,7791/8307, numerators are 7526,7791
Denominators are 972,8307
The GCF of 7526,7791 is 53 .
LCM of 972,8307 is 897156.
The greatest common factor of 7526/972,7791/8307 = [GCF of 7526,7791]/[LCM of 972,8307]= 53/897156
Therefore, the GCF of 7526/972,7791/8307 is 53/897156.
To find the highest common factor of 7526,7791, we have to find the factors of both numbers and list the highest common factor.
The factors of 7526 are 1, 2, 53, 71, 106, 142, 3763, 7526
The factors of 7791 are 1, 3, 7, 21, 49, 53, 147, 159, 371, 1113, 2597, 7791
The HCF of 7526,7791 is 53.
Lets's calculate GCF of 7526,7791
| 53 | 7526, 7791 |
| 142, 147 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 7526,7791 By Matching Biggest Common Factor Method
Now, list down the factors of 7526
:1,2,53,71,106,142,3763,7526
Now, list down the factors of 7791
:1,3,7,21,49,53,147,159,371,1113,2597,7791
Greatest Common Factor
We found the factors 7526,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 7526,7791 is 53.
Lets's calculate LCM of 972,8307
| 3 | 972, 8307 |
| 3 | 324, 2769 |
| 108, 923 |
∴ So the LCM of the given numbers is 3 x 3 x 108 x 923 = 897156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/897156
Therefore, the GCF of Fractions 7526/972,7791/8307 is 53/897156
Least Common Multiple of 972,8307 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 972,8307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,8307) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(972,8307) x common factors =9 x 1 = 9
LCM(972,8307) = ( 972 × 8307 ) / 9
LCM(972,8307) = 8074404 / 9
LCM(972,8307) = 897156
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FAQs on GCF of Fractions of 7526/972, 7791/8307
1. What is the HCF of 7526,7791?
The HCF of 7526,7791 is 53
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 7526/972, 7791/8307?
Answer: GCF of Numerators as per given numbers 7526/972, 7791/8307 is
GCF of Numerators i.e. for 7526,7791 is 53
LCM of denominators i.e. for 972,8307 is 897156.
Thus, GCF of Fractions is 53/897156.Finally, GCF of Fractions for 7526/972, 7791/8307 is 53/897156.