GCF of 7912/792, 7091/6342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7912/792, 7091/6342 i.e 1/837144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7912/792, 7091/6342.
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 7912/792,7091/6342?
Given fractions are 7912/792,7091/6342
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 7912/792,7091/6342, numerators are 7912,7091
Denominators are 792,6342
The GCF of 7912,7091 is 1 .
LCM of 792,6342 is 837144.
The greatest common factor of 7912/792,7091/6342 = [GCF of 7912,7091]/[LCM of 792,6342]= 1/837144
Therefore, the GCF of 7912/792,7091/6342 is 1/837144.
To find the highest common factor of 7912,7091, we have to find the factors of both numbers and list the highest common factor.
The factors of 7912 are 1, 2, 4, 8, 23, 43, 46, 86, 92, 172, 184, 344, 989, 1978, 3956, 7912
The factors of 7091 are 1, 7, 1013, 7091
The HCF of 7912,7091 is 1.
Lets's calculate GCF of 7912,7091
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7912,7091 By Matching Biggest Common Factor Method
Now, list down the factors of 7912
:1,2,4,8,23,43,46,86,92,172,184,344,989,1978,3956,7912
Now, list down the factors of 7091
:1,7,1013,7091
Greatest Common Factor
We found the factors 7912,7091 . The biggest common factor number is the GCF number.
So the greatest common factor 7912,7091 is 1.
Lets's calculate LCM of 792,6342
| 2 | 792, 6342 |
| 3 | 396, 3171 |
| 132, 1057 |
∴ So the LCM of the given numbers is 2 x 3 x 132 x 1057 = 837144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/837144
Therefore, the GCF of Fractions 7912/792,7091/6342 is 1/837144
Least Common Multiple of 792,6342 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 792,6342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,6342) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(792,6342) x common factors =6 x 1 = 6
LCM(792,6342) = ( 792 × 6342 ) / 6
LCM(792,6342) = 5022864 / 6
LCM(792,6342) = 837144
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FAQs on GCF of Fractions of 7912/792, 7091/6342
1. What is the HCF of 7912,7091?
The HCF of 7912,7091 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 7912/792, 7091/6342?
Answer: GCF of Numerators as per given numbers 7912/792, 7091/6342 is
GCF of Numerators i.e. for 7912,7091 is 1
LCM of denominators i.e. for 792,6342 is 837144.
Thus, GCF of Fractions is 1/837144.Finally, GCF of Fractions for 7912/792, 7091/6342 is 1/837144.