GCF of 6132/760, 9238/9969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6132/760, 9238/9969 i.e 2/7576440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6132/760, 9238/9969.
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 6132/760,9238/9969?
Given fractions are 6132/760,9238/9969
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 6132/760,9238/9969, numerators are 6132,9238
Denominators are 760,9969
The GCF of 6132,9238 is 2 .
LCM of 760,9969 is 7576440.
The greatest common factor of 6132/760,9238/9969 = [GCF of 6132,9238]/[LCM of 760,9969]= 2/7576440
Therefore, the GCF of 6132/760,9238/9969 is 2/7576440.
To find the highest common factor of 6132,9238, we have to find the factors of both numbers and list the highest common factor.
The factors of 6132 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132
The factors of 9238 are 1, 2, 31, 62, 149, 298, 4619, 9238
The HCF of 6132,9238 is 2.
Lets's calculate GCF of 6132,9238
| 2 | 6132, 9238 |
| 3066, 4619 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6132,9238 By Matching Biggest Common Factor Method
Now, list down the factors of 6132
:1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132
Now, list down the factors of 9238
:1,2,31,62,149,298,4619,9238
Greatest Common Factor
We found the factors 6132,9238 . The biggest common factor number is the GCF number.
So the greatest common factor 6132,9238 is 2.
Lets's calculate LCM of 760,9969
Given numbers has no common factors except 1. So, there LCM is their product i.e 7576440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7576440
Therefore, the GCF of Fractions 6132/760,9238/9969 is 2/7576440
Least Common Multiple of 760,9969 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 760,9969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,9969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(760,9969) x common factors =1 x 1 = 1
LCM(760,9969) = ( 760 × 9969 ) / 1
LCM(760,9969) = 7576440 / 1
LCM(760,9969) = 7576440
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FAQs on GCF of Fractions of 6132/760, 9238/9969
1. What is the HCF of 6132,9238?
The HCF of 6132,9238 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 6132/760, 9238/9969?
Answer: GCF of Numerators as per given numbers 6132/760, 9238/9969 is
GCF of Numerators i.e. for 6132,9238 is 2
LCM of denominators i.e. for 760,9969 is 7576440.
Thus, GCF of Fractions is 2/7576440.Finally, GCF of Fractions for 6132/760, 9238/9969 is 2/7576440.