GCF of 952/104, 3122/9714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 952/104, 3122/9714 i.e 14/505128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 952/104, 3122/9714.
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 952/104,3122/9714?
Given fractions are 952/104,3122/9714
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 952/104,3122/9714, numerators are 952,3122
Denominators are 104,9714
The GCF of 952,3122 is 14 .
LCM of 104,9714 is 505128.
The greatest common factor of 952/104,3122/9714 = [GCF of 952,3122]/[LCM of 104,9714]= 14/505128
Therefore, the GCF of 952/104,3122/9714 is 14/505128.
To find the highest common factor of 952,3122, we have to find the factors of both numbers and list the highest common factor.
The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
The factors of 3122 are 1, 2, 7, 14, 223, 446, 1561, 3122
The HCF of 952,3122 is 14.
Lets's calculate GCF of 952,3122
| 2 | 952, 3122 |
| 7 | 476, 1561 |
| 68, 223 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 952,3122 By Matching Biggest Common Factor Method
Now, list down the factors of 952
:1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Now, list down the factors of 3122
:1,2,7,14,223,446,1561,3122
Greatest Common Factor
We found the factors 952,3122 . The biggest common factor number is the GCF number.
So the greatest common factor 952,3122 is 14.
Lets's calculate LCM of 104,9714
| 2 | 104, 9714 |
| 52, 4857 |
∴ So the LCM of the given numbers is 2 x 52 x 4857 = 505128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/505128
Therefore, the GCF of Fractions 952/104,3122/9714 is 14/505128
Least Common Multiple of 104,9714 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 104,9714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,9714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(104,9714) x common factors =2 x 1 = 2
LCM(104,9714) = ( 104 × 9714 ) / 2
LCM(104,9714) = 1010256 / 2
LCM(104,9714) = 505128
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FAQs on GCF of Fractions of 952/104, 3122/9714
1. What is the HCF of 952,3122?
The HCF of 952,3122 is 14
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 952/104, 3122/9714?
Answer: GCF of Numerators as per given numbers 952/104, 3122/9714 is
GCF of Numerators i.e. for 952,3122 is 14
LCM of denominators i.e. for 104,9714 is 505128.
Thus, GCF of Fractions is 14/505128.Finally, GCF of Fractions for 952/104, 3122/9714 is 14/505128.