GCF of 118/49, 9612/953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 118/49, 9612/953 i.e 2/46697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/49, 9612/953.
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 118/49,9612/953?
Given fractions are 118/49,9612/953
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 118/49,9612/953, numerators are 118,9612
Denominators are 49,953
The GCF of 118,9612 is 2 .
LCM of 49,953 is 46697.
The greatest common factor of 118/49,9612/953 = [GCF of 118,9612]/[LCM of 49,953]= 2/46697
Therefore, the GCF of 118/49,9612/953 is 2/46697.
To find the highest common factor of 118,9612, we have to find the factors of both numbers and list the highest common factor.
The factors of 118 are 1, 2, 59, 118
The factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612
The HCF of 118,9612 is 2.
Lets's calculate GCF of 118,9612
| 2 | 118, 9612 |
| 59, 4806 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 118,9612 By Matching Biggest Common Factor Method
Now, list down the factors of 118
:1,2,59,118
Now, list down the factors of 9612
:1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612
Greatest Common Factor
We found the factors 118,9612 . The biggest common factor number is the GCF number.
So the greatest common factor 118,9612 is 2.
Lets's calculate LCM of 49,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 46697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46697
Therefore, the GCF of Fractions 118/49,9612/953 is 2/46697
Least Common Multiple of 49,953 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 49,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,953) x common factors =1 x 1 = 1
LCM(49,953) = ( 49 × 953 ) / 1
LCM(49,953) = 46697 / 1
LCM(49,953) = 46697
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FAQs on GCF of Fractions of 118/49, 9612/953
1. What is the HCF of 118,9612?
The HCF of 118,9612 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 118/49, 9612/953?
Answer: GCF of Numerators as per given numbers 118/49, 9612/953 is
GCF of Numerators i.e. for 118,9612 is 2
LCM of denominators i.e. for 49,953 is 46697.
Thus, GCF of Fractions is 2/46697.Finally, GCF of Fractions for 118/49, 9612/953 is 2/46697.