GCF of 9051/171, 9674/3774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9051/171, 9674/3774 i.e 7/215118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9051/171, 9674/3774.
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 9051/171,9674/3774?
Given fractions are 9051/171,9674/3774
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 9051/171,9674/3774, numerators are 9051,9674
Denominators are 171,3774
The GCF of 9051,9674 is 7 .
LCM of 171,3774 is 215118.
The greatest common factor of 9051/171,9674/3774 = [GCF of 9051,9674]/[LCM of 171,3774]= 7/215118
Therefore, the GCF of 9051/171,9674/3774 is 7/215118.
To find the highest common factor of 9051,9674, we have to find the factors of both numbers and list the highest common factor.
The factors of 9051 are 1, 3, 7, 21, 431, 1293, 3017, 9051
The factors of 9674 are 1, 2, 7, 14, 691, 1382, 4837, 9674
The HCF of 9051,9674 is 7.
Lets's calculate GCF of 9051,9674
| 7 | 9051, 9674 |
| 1293, 1382 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9051,9674 By Matching Biggest Common Factor Method
Now, list down the factors of 9051
:1,3,7,21,431,1293,3017,9051
Now, list down the factors of 9674
:1,2,7,14,691,1382,4837,9674
Greatest Common Factor
We found the factors 9051,9674 . The biggest common factor number is the GCF number.
So the greatest common factor 9051,9674 is 7.
Lets's calculate LCM of 171,3774
| 3 | 171, 3774 |
| 57, 1258 |
∴ So the LCM of the given numbers is 3 x 57 x 1258 = 215118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/215118
Therefore, the GCF of Fractions 9051/171,9674/3774 is 7/215118
Least Common Multiple of 171,3774 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 171,3774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,3774) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,3774) x common factors =3 x 1 = 3
LCM(171,3774) = ( 171 × 3774 ) / 3
LCM(171,3774) = 645354 / 3
LCM(171,3774) = 215118
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FAQs on GCF of Fractions of 9051/171, 9674/3774
1. What is the HCF of 9051,9674?
The HCF of 9051,9674 is 7
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 9051/171, 9674/3774?
Answer: GCF of Numerators as per given numbers 9051/171, 9674/3774 is
GCF of Numerators i.e. for 9051,9674 is 7
LCM of denominators i.e. for 171,3774 is 215118.
Thus, GCF of Fractions is 7/215118.Finally, GCF of Fractions for 9051/171, 9674/3774 is 7/215118.