GCF of 5122/992, 7958/6710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5122/992, 7958/6710 i.e 2/3328160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5122/992, 7958/6710.
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 5122/992,7958/6710?
Given fractions are 5122/992,7958/6710
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 5122/992,7958/6710, numerators are 5122,7958
Denominators are 992,6710
The GCF of 5122,7958 is 2 .
LCM of 992,6710 is 3328160.
The greatest common factor of 5122/992,7958/6710 = [GCF of 5122,7958]/[LCM of 992,6710]= 2/3328160
Therefore, the GCF of 5122/992,7958/6710 is 2/3328160.
To find the highest common factor of 5122,7958, we have to find the factors of both numbers and list the highest common factor.
The factors of 5122 are 1, 2, 13, 26, 197, 394, 2561, 5122
The factors of 7958 are 1, 2, 23, 46, 173, 346, 3979, 7958
The HCF of 5122,7958 is 2.
Lets's calculate GCF of 5122,7958
| 2 | 5122, 7958 |
| 2561, 3979 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5122,7958 By Matching Biggest Common Factor Method
Now, list down the factors of 5122
:1,2,13,26,197,394,2561,5122
Now, list down the factors of 7958
:1,2,23,46,173,346,3979,7958
Greatest Common Factor
We found the factors 5122,7958 . The biggest common factor number is the GCF number.
So the greatest common factor 5122,7958 is 2.
Lets's calculate LCM of 992,6710
| 2 | 992, 6710 |
| 496, 3355 |
∴ So the LCM of the given numbers is 2 x 496 x 3355 = 3328160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3328160
Therefore, the GCF of Fractions 5122/992,7958/6710 is 2/3328160
Least Common Multiple of 992,6710 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 992,6710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,6710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(992,6710) x common factors =2 x 1 = 2
LCM(992,6710) = ( 992 × 6710 ) / 2
LCM(992,6710) = 6656320 / 2
LCM(992,6710) = 3328160
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FAQs on GCF of Fractions of 5122/992, 7958/6710
1. What is the HCF of 5122,7958?
The HCF of 5122,7958 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 5122/992, 7958/6710?
Answer: GCF of Numerators as per given numbers 5122/992, 7958/6710 is
GCF of Numerators i.e. for 5122,7958 is 2
LCM of denominators i.e. for 992,6710 is 3328160.
Thus, GCF of Fractions is 2/3328160.Finally, GCF of Fractions for 5122/992, 7958/6710 is 2/3328160.