GCF of 5961/760, 9636/134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5961/760, 9636/134 i.e 3/50920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5961/760, 9636/134.
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 5961/760,9636/134?
Given fractions are 5961/760,9636/134
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 5961/760,9636/134, numerators are 5961,9636
Denominators are 760,134
The GCF of 5961,9636 is 3 .
LCM of 760,134 is 50920.
The greatest common factor of 5961/760,9636/134 = [GCF of 5961,9636]/[LCM of 760,134]= 3/50920
Therefore, the GCF of 5961/760,9636/134 is 3/50920.
To find the highest common factor of 5961,9636, we have to find the factors of both numbers and list the highest common factor.
The factors of 5961 are 1, 3, 1987, 5961
The factors of 9636 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636
The HCF of 5961,9636 is 3.
Lets's calculate GCF of 5961,9636
| 3 | 5961, 9636 |
| 1987, 3212 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5961,9636 By Matching Biggest Common Factor Method
Now, list down the factors of 5961
:1,3,1987,5961
Now, list down the factors of 9636
:1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636
Greatest Common Factor
We found the factors 5961,9636 . The biggest common factor number is the GCF number.
So the greatest common factor 5961,9636 is 3.
Lets's calculate LCM of 760,134
| 2 | 760, 134 |
| 380, 67 |
∴ So the LCM of the given numbers is 2 x 380 x 67 = 50920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50920
Therefore, the GCF of Fractions 5961/760,9636/134 is 3/50920
Least Common Multiple of 760,134 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 760,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(760,134) x common factors =2 x 1 = 2
LCM(760,134) = ( 760 × 134 ) / 2
LCM(760,134) = 101840 / 2
LCM(760,134) = 50920
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FAQs on GCF of Fractions of 5961/760, 9636/134
1. What is the HCF of 5961,9636?
The HCF of 5961,9636 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 5961/760, 9636/134?
Answer: GCF of Numerators as per given numbers 5961/760, 9636/134 is
GCF of Numerators i.e. for 5961,9636 is 3
LCM of denominators i.e. for 760,134 is 50920.
Thus, GCF of Fractions is 3/50920.Finally, GCF of Fractions for 5961/760, 9636/134 is 3/50920.