GCF of 7892/876, 6526/9512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7892/876, 6526/9512 i.e 2/2083128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7892/876, 6526/9512.
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 7892/876,6526/9512?
Given fractions are 7892/876,6526/9512
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 7892/876,6526/9512, numerators are 7892,6526
Denominators are 876,9512
The GCF of 7892,6526 is 2 .
LCM of 876,9512 is 2083128.
The greatest common factor of 7892/876,6526/9512 = [GCF of 7892,6526]/[LCM of 876,9512]= 2/2083128
Therefore, the GCF of 7892/876,6526/9512 is 2/2083128.
To find the highest common factor of 7892,6526, we have to find the factors of both numbers and list the highest common factor.
The factors of 7892 are 1, 2, 4, 1973, 3946, 7892
The factors of 6526 are 1, 2, 13, 26, 251, 502, 3263, 6526
The HCF of 7892,6526 is 2.
Lets's calculate GCF of 7892,6526
| 2 | 7892, 6526 |
| 3946, 3263 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7892,6526 By Matching Biggest Common Factor Method
Now, list down the factors of 7892
:1,2,4,1973,3946,7892
Now, list down the factors of 6526
:1,2,13,26,251,502,3263,6526
Greatest Common Factor
We found the factors 7892,6526 . The biggest common factor number is the GCF number.
So the greatest common factor 7892,6526 is 2.
Lets's calculate LCM of 876,9512
| 2 | 876, 9512 |
| 2 | 438, 4756 |
| 219, 2378 |
∴ So the LCM of the given numbers is 2 x 2 x 219 x 2378 = 2083128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2083128
Therefore, the GCF of Fractions 7892/876,6526/9512 is 2/2083128
Least Common Multiple of 876,9512 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 876,9512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,9512) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(876,9512) x common factors =4 x 1 = 4
LCM(876,9512) = ( 876 × 9512 ) / 4
LCM(876,9512) = 8332512 / 4
LCM(876,9512) = 2083128
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FAQs on GCF of Fractions of 7892/876, 6526/9512
1. What is the HCF of 7892,6526?
The HCF of 7892,6526 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 7892/876, 6526/9512?
Answer: GCF of Numerators as per given numbers 7892/876, 6526/9512 is
GCF of Numerators i.e. for 7892,6526 is 2
LCM of denominators i.e. for 876,9512 is 2083128.
Thus, GCF of Fractions is 2/2083128.Finally, GCF of Fractions for 7892/876, 6526/9512 is 2/2083128.