GCF of 6111/426, 7953/646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6111/426, 7953/646 i.e 3/137598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6111/426, 7953/646.
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 6111/426,7953/646?
Given fractions are 6111/426,7953/646
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 6111/426,7953/646, numerators are 6111,7953
Denominators are 426,646
The GCF of 6111,7953 is 3 .
LCM of 426,646 is 137598.
The greatest common factor of 6111/426,7953/646 = [GCF of 6111,7953]/[LCM of 426,646]= 3/137598
Therefore, the GCF of 6111/426,7953/646 is 3/137598.
To find the highest common factor of 6111,7953, we have to find the factors of both numbers and list the highest common factor.
The factors of 6111 are 1, 3, 7, 9, 21, 63, 97, 291, 679, 873, 2037, 6111
The factors of 7953 are 1, 3, 11, 33, 241, 723, 2651, 7953
The HCF of 6111,7953 is 3.
Lets's calculate GCF of 6111,7953
| 3 | 6111, 7953 |
| 2037, 2651 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6111,7953 By Matching Biggest Common Factor Method
Now, list down the factors of 6111
:1,3,7,9,21,63,97,291,679,873,2037,6111
Now, list down the factors of 7953
:1,3,11,33,241,723,2651,7953
Greatest Common Factor
We found the factors 6111,7953 . The biggest common factor number is the GCF number.
So the greatest common factor 6111,7953 is 3.
Lets's calculate LCM of 426,646
| 2 | 426, 646 |
| 213, 323 |
∴ So the LCM of the given numbers is 2 x 213 x 323 = 137598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/137598
Therefore, the GCF of Fractions 6111/426,7953/646 is 3/137598
Least Common Multiple of 426,646 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 426,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(426,646) x common factors =2 x 1 = 2
LCM(426,646) = ( 426 × 646 ) / 2
LCM(426,646) = 275196 / 2
LCM(426,646) = 137598
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FAQs on GCF of Fractions of 6111/426, 7953/646
1. What is the HCF of 6111,7953?
The HCF of 6111,7953 is 3
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 6111/426, 7953/646?
Answer: GCF of Numerators as per given numbers 6111/426, 7953/646 is
GCF of Numerators i.e. for 6111,7953 is 3
LCM of denominators i.e. for 426,646 is 137598.
Thus, GCF of Fractions is 3/137598.Finally, GCF of Fractions for 6111/426, 7953/646 is 3/137598.