GCF of 4957/450, 9971/174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4957/450, 9971/174 i.e 1/13050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4957/450, 9971/174.
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 4957/450,9971/174?
Given fractions are 4957/450,9971/174
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 4957/450,9971/174, numerators are 4957,9971
Denominators are 450,174
The GCF of 4957,9971 is 1 .
LCM of 450,174 is 13050.
The greatest common factor of 4957/450,9971/174 = [GCF of 4957,9971]/[LCM of 450,174]= 1/13050
Therefore, the GCF of 4957/450,9971/174 is 1/13050.
To find the highest common factor of 4957,9971, we have to find the factors of both numbers and list the highest common factor.
The factors of 4957 are 1, 4957
The factors of 9971 are 1, 13, 59, 169, 767, 9971
The HCF of 4957,9971 is 1.
Lets's calculate GCF of 4957,9971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4957,9971 By Matching Biggest Common Factor Method
Now, list down the factors of 4957
:1,4957
Now, list down the factors of 9971
:1,13,59,169,767,9971
Greatest Common Factor
We found the factors 4957,9971 . The biggest common factor number is the GCF number.
So the greatest common factor 4957,9971 is 1.
Lets's calculate LCM of 450,174
| 2 | 450, 174 |
| 3 | 225, 87 |
| 75, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 75 x 29 = 13050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13050
Therefore, the GCF of Fractions 4957/450,9971/174 is 1/13050
Least Common Multiple of 450,174 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 450,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,174) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(450,174) x common factors =6 x 1 = 6
LCM(450,174) = ( 450 × 174 ) / 6
LCM(450,174) = 78300 / 6
LCM(450,174) = 13050
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FAQs on GCF of Fractions of 4957/450, 9971/174
1. What is the HCF of 4957,9971?
The HCF of 4957,9971 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 4957/450, 9971/174?
Answer: GCF of Numerators as per given numbers 4957/450, 9971/174 is
GCF of Numerators i.e. for 4957,9971 is 1
LCM of denominators i.e. for 450,174 is 13050.
Thus, GCF of Fractions is 1/13050.Finally, GCF of Fractions for 4957/450, 9971/174 is 1/13050.