GCF of 2370/47, 9164/431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2370/47, 9164/431 i.e 158/20257 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2370/47, 9164/431.
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 2370/47,9164/431?
Given fractions are 2370/47,9164/431
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 2370/47,9164/431, numerators are 2370,9164
Denominators are 47,431
The GCF of 2370,9164 is 158 .
LCM of 47,431 is 20257.
The greatest common factor of 2370/47,9164/431 = [GCF of 2370,9164]/[LCM of 47,431]= 158/20257
Therefore, the GCF of 2370/47,9164/431 is 158/20257.
To find the highest common factor of 2370,9164, we have to find the factors of both numbers and list the highest common factor.
The factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370
The factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164
The HCF of 2370,9164 is 158.
Lets's calculate GCF of 2370,9164
| 2 | 2370, 9164 |
| 79 | 1185, 4582 |
| 15, 58 |
∴ So the GCF of the given numbers is 2 x 79 = 158
Greatest Common Factor of 2370,9164 By Matching Biggest Common Factor Method
Now, list down the factors of 2370
:1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Now, list down the factors of 9164
:1,2,4,29,58,79,116,158,316,2291,4582,9164
Greatest Common Factor
We found the factors 2370,9164 . The biggest common factor number is the GCF number.
So the greatest common factor 2370,9164 is 158.
Lets's calculate LCM of 47,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 20257
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 158/20257
Therefore, the GCF of Fractions 2370/47,9164/431 is 158/20257
Least Common Multiple of 47,431 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 47,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,431) x common factors =1 x 1 = 1
LCM(47,431) = ( 47 × 431 ) / 1
LCM(47,431) = 20257 / 1
LCM(47,431) = 20257
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FAQs on GCF of Fractions of 2370/47, 9164/431
1. What is the HCF of 2370,9164?
The HCF of 2370,9164 is 158
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 2370/47, 9164/431?
Answer: GCF of Numerators as per given numbers 2370/47, 9164/431 is
GCF of Numerators i.e. for 2370,9164 is 158
LCM of denominators i.e. for 47,431 is 20257.
Thus, GCF of Fractions is 158/20257.Finally, GCF of Fractions for 2370/47, 9164/431 is 158/20257.