GCF of 9968/982, 6141/280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9968/982, 6141/280 i.e 89/137480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9968/982, 6141/280.
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 9968/982,6141/280?
Given fractions are 9968/982,6141/280
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 9968/982,6141/280, numerators are 9968,6141
Denominators are 982,280
The GCF of 9968,6141 is 89 .
LCM of 982,280 is 137480.
The greatest common factor of 9968/982,6141/280 = [GCF of 9968,6141]/[LCM of 982,280]= 89/137480
Therefore, the GCF of 9968/982,6141/280 is 89/137480.
To find the highest common factor of 9968,6141, we have to find the factors of both numbers and list the highest common factor.
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141
The HCF of 9968,6141 is 89.
Lets's calculate GCF of 9968,6141
| 89 | 9968, 6141 |
| 112, 69 |
∴ So the GCF of the given numbers is 89 = 89
Greatest Common Factor of 9968,6141 By Matching Biggest Common Factor Method
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Now, list down the factors of 6141
:1,3,23,69,89,267,2047,6141
Greatest Common Factor
We found the factors 9968,6141 . The biggest common factor number is the GCF number.
So the greatest common factor 9968,6141 is 89.
Lets's calculate LCM of 982,280
| 2 | 982, 280 |
| 491, 140 |
∴ So the LCM of the given numbers is 2 x 491 x 140 = 137480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/137480
Therefore, the GCF of Fractions 9968/982,6141/280 is 89/137480
Least Common Multiple of 982,280 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 982,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,280) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,280) x common factors =2 x 1 = 2
LCM(982,280) = ( 982 × 280 ) / 2
LCM(982,280) = 274960 / 2
LCM(982,280) = 137480
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FAQs on GCF of Fractions of 9968/982, 6141/280
1. What is the HCF of 9968,6141?
The HCF of 9968,6141 is 89
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 9968/982, 6141/280?
Answer: GCF of Numerators as per given numbers 9968/982, 6141/280 is
GCF of Numerators i.e. for 9968,6141 is 89
LCM of denominators i.e. for 982,280 is 137480.
Thus, GCF of Fractions is 89/137480.Finally, GCF of Fractions for 9968/982, 6141/280 is 89/137480.