GCF of 4951/121, 9989/924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4951/121, 9989/924 i.e 1/10164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4951/121, 9989/924.
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 4951/121,9989/924?
Given fractions are 4951/121,9989/924
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 4951/121,9989/924, numerators are 4951,9989
Denominators are 121,924
The GCF of 4951,9989 is 1 .
LCM of 121,924 is 10164.
The greatest common factor of 4951/121,9989/924 = [GCF of 4951,9989]/[LCM of 121,924]= 1/10164
Therefore, the GCF of 4951/121,9989/924 is 1/10164.
To find the highest common factor of 4951,9989, we have to find the factors of both numbers and list the highest common factor.
The factors of 4951 are 1, 4951
The factors of 9989 are 1, 7, 1427, 9989
The HCF of 4951,9989 is 1.
Lets's calculate GCF of 4951,9989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4951,9989 By Matching Biggest Common Factor Method
Now, list down the factors of 4951
:1,4951
Now, list down the factors of 9989
:1,7,1427,9989
Greatest Common Factor
We found the factors 4951,9989 . The biggest common factor number is the GCF number.
So the greatest common factor 4951,9989 is 1.
Lets's calculate LCM of 121,924
| 11 | 121, 924 |
| 11, 84 |
∴ So the LCM of the given numbers is 11 x 11 x 84 = 10164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10164
Therefore, the GCF of Fractions 4951/121,9989/924 is 1/10164
Least Common Multiple of 121,924 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 121,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,924) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(121,924) x common factors =11 x 1 = 11
LCM(121,924) = ( 121 × 924 ) / 11
LCM(121,924) = 111804 / 11
LCM(121,924) = 10164
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FAQs on GCF of Fractions of 4951/121, 9989/924
1. What is the HCF of 4951,9989?
The HCF of 4951,9989 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 4951/121, 9989/924?
Answer: GCF of Numerators as per given numbers 4951/121, 9989/924 is
GCF of Numerators i.e. for 4951,9989 is 1
LCM of denominators i.e. for 121,924 is 10164.
Thus, GCF of Fractions is 1/10164.Finally, GCF of Fractions for 4951/121, 9989/924 is 1/10164.