GCF of 7461/989, 5272/7684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7461/989, 5272/7684 i.e 1/7599476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7461/989, 5272/7684.
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 7461/989,5272/7684?
Given fractions are 7461/989,5272/7684
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 7461/989,5272/7684, numerators are 7461,5272
Denominators are 989,7684
The GCF of 7461,5272 is 1 .
LCM of 989,7684 is 7599476.
The greatest common factor of 7461/989,5272/7684 = [GCF of 7461,5272]/[LCM of 989,7684]= 1/7599476
Therefore, the GCF of 7461/989,5272/7684 is 1/7599476.
To find the highest common factor of 7461,5272, we have to find the factors of both numbers and list the highest common factor.
The factors of 7461 are 1, 3, 9, 829, 2487, 7461
The factors of 5272 are 1, 2, 4, 8, 659, 1318, 2636, 5272
The HCF of 7461,5272 is 1.
Lets's calculate GCF of 7461,5272
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7461,5272 By Matching Biggest Common Factor Method
Now, list down the factors of 7461
:1,3,9,829,2487,7461
Now, list down the factors of 5272
:1,2,4,8,659,1318,2636,5272
Greatest Common Factor
We found the factors 7461,5272 . The biggest common factor number is the GCF number.
So the greatest common factor 7461,5272 is 1.
Lets's calculate LCM of 989,7684
Given numbers has no common factors except 1. So, there LCM is their product i.e 7599476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7599476
Therefore, the GCF of Fractions 7461/989,5272/7684 is 1/7599476
Least Common Multiple of 989,7684 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 989,7684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,7684) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,7684) x common factors =1 x 1 = 1
LCM(989,7684) = ( 989 × 7684 ) / 1
LCM(989,7684) = 7599476 / 1
LCM(989,7684) = 7599476
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FAQs on GCF of Fractions of 7461/989, 5272/7684
1. What is the HCF of 7461,5272?
The HCF of 7461,5272 is 1
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 7461/989, 5272/7684?
Answer: GCF of Numerators as per given numbers 7461/989, 5272/7684 is
GCF of Numerators i.e. for 7461,5272 is 1
LCM of denominators i.e. for 989,7684 is 7599476.
Thus, GCF of Fractions is 1/7599476.Finally, GCF of Fractions for 7461/989, 5272/7684 is 1/7599476.