GCF of 9694/441, 7120/337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9694/441, 7120/337 i.e 2/148617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9694/441, 7120/337.
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 9694/441,7120/337?
Given fractions are 9694/441,7120/337
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 9694/441,7120/337, numerators are 9694,7120
Denominators are 441,337
The GCF of 9694,7120 is 2 .
LCM of 441,337 is 148617.
The greatest common factor of 9694/441,7120/337 = [GCF of 9694,7120]/[LCM of 441,337]= 2/148617
Therefore, the GCF of 9694/441,7120/337 is 2/148617.
To find the highest common factor of 9694,7120, we have to find the factors of both numbers and list the highest common factor.
The factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694
The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
The HCF of 9694,7120 is 2.
Lets's calculate GCF of 9694,7120
| 2 | 9694, 7120 |
| 4847, 3560 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9694,7120 By Matching Biggest Common Factor Method
Now, list down the factors of 9694
:1,2,37,74,131,262,4847,9694
Now, list down the factors of 7120
:1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Greatest Common Factor
We found the factors 9694,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 9694,7120 is 2.
Lets's calculate LCM of 441,337
Given numbers has no common factors except 1. So, there LCM is their product i.e 148617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148617
Therefore, the GCF of Fractions 9694/441,7120/337 is 2/148617
Least Common Multiple of 441,337 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 441,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,337) x common factors =1 x 1 = 1
LCM(441,337) = ( 441 × 337 ) / 1
LCM(441,337) = 148617 / 1
LCM(441,337) = 148617
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FAQs on GCF of Fractions of 9694/441, 7120/337
1. What is the HCF of 9694,7120?
The HCF of 9694,7120 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 9694/441, 7120/337?
Answer: GCF of Numerators as per given numbers 9694/441, 7120/337 is
GCF of Numerators i.e. for 9694,7120 is 2
LCM of denominators i.e. for 441,337 is 148617.
Thus, GCF of Fractions is 2/148617.Finally, GCF of Fractions for 9694/441, 7120/337 is 2/148617.