GCF of 9501/178, 6252/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9501/178, 6252/242 i.e 3/21538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9501/178, 6252/242.
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 9501/178,6252/242?
Given fractions are 9501/178,6252/242
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 9501/178,6252/242, numerators are 9501,6252
Denominators are 178,242
The GCF of 9501,6252 is 3 .
LCM of 178,242 is 21538.
The greatest common factor of 9501/178,6252/242 = [GCF of 9501,6252]/[LCM of 178,242]= 3/21538
Therefore, the GCF of 9501/178,6252/242 is 3/21538.
To find the highest common factor of 9501,6252, we have to find the factors of both numbers and list the highest common factor.
The factors of 9501 are 1, 3, 3167, 9501
The factors of 6252 are 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252
The HCF of 9501,6252 is 3.
Lets's calculate GCF of 9501,6252
| 3 | 9501, 6252 |
| 3167, 2084 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9501,6252 By Matching Biggest Common Factor Method
Now, list down the factors of 9501
:1,3,3167,9501
Now, list down the factors of 6252
:1,2,3,4,6,12,521,1042,1563,2084,3126,6252
Greatest Common Factor
We found the factors 9501,6252 . The biggest common factor number is the GCF number.
So the greatest common factor 9501,6252 is 3.
Lets's calculate LCM of 178,242
| 2 | 178, 242 |
| 89, 121 |
∴ So the LCM of the given numbers is 2 x 89 x 121 = 21538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21538
Therefore, the GCF of Fractions 9501/178,6252/242 is 3/21538
Least Common Multiple of 178,242 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 178,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,242) x common factors =2 x 1 = 2
LCM(178,242) = ( 178 × 242 ) / 2
LCM(178,242) = 43076 / 2
LCM(178,242) = 21538
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FAQs on GCF of Fractions of 9501/178, 6252/242
1. What is the HCF of 9501,6252?
The HCF of 9501,6252 is 3
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 9501/178, 6252/242?
Answer: GCF of Numerators as per given numbers 9501/178, 6252/242 is
GCF of Numerators i.e. for 9501,6252 is 3
LCM of denominators i.e. for 178,242 is 21538.
Thus, GCF of Fractions is 3/21538.Finally, GCF of Fractions for 9501/178, 6252/242 is 3/21538.