GCF of 9894/970, 7627/4930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9894/970, 7627/4930 i.e 1/478210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9894/970, 7627/4930.
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 9894/970,7627/4930?
Given fractions are 9894/970,7627/4930
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 9894/970,7627/4930, numerators are 9894,7627
Denominators are 970,4930
The GCF of 9894,7627 is 1 .
LCM of 970,4930 is 478210.
The greatest common factor of 9894/970,7627/4930 = [GCF of 9894,7627]/[LCM of 970,4930]= 1/478210
Therefore, the GCF of 9894/970,7627/4930 is 1/478210.
To find the highest common factor of 9894,7627, we have to find the factors of both numbers and list the highest common factor.
The factors of 9894 are 1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894
The factors of 7627 are 1, 29, 263, 7627
The HCF of 9894,7627 is 1.
Lets's calculate GCF of 9894,7627
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9894,7627 By Matching Biggest Common Factor Method
Now, list down the factors of 9894
:1,2,3,6,17,34,51,97,102,194,291,582,1649,3298,4947,9894
Now, list down the factors of 7627
:1,29,263,7627
Greatest Common Factor
We found the factors 9894,7627 . The biggest common factor number is the GCF number.
So the greatest common factor 9894,7627 is 1.
Lets's calculate LCM of 970,4930
| 2 | 970, 4930 |
| 5 | 485, 2465 |
| 97, 493 |
∴ So the LCM of the given numbers is 2 x 5 x 97 x 493 = 478210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478210
Therefore, the GCF of Fractions 9894/970,7627/4930 is 1/478210
Least Common Multiple of 970,4930 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 970,4930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,4930) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(970,4930) x common factors =10 x 1 = 10
LCM(970,4930) = ( 970 × 4930 ) / 10
LCM(970,4930) = 4782100 / 10
LCM(970,4930) = 478210
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FAQs on GCF of Fractions of 9894/970, 7627/4930
1. What is the HCF of 9894,7627?
The HCF of 9894,7627 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 9894/970, 7627/4930?
Answer: GCF of Numerators as per given numbers 9894/970, 7627/4930 is
GCF of Numerators i.e. for 9894,7627 is 1
LCM of denominators i.e. for 970,4930 is 478210.
Thus, GCF of Fractions is 1/478210.Finally, GCF of Fractions for 9894/970, 7627/4930 is 1/478210.