GCF of 974/365, 1092/355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 974/365, 1092/355 i.e 2/25915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/365, 1092/355.
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 974/365,1092/355?
Given fractions are 974/365,1092/355
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 974/365,1092/355, numerators are 974,1092
Denominators are 365,355
The GCF of 974,1092 is 2 .
LCM of 365,355 is 25915.
The greatest common factor of 974/365,1092/355 = [GCF of 974,1092]/[LCM of 365,355]= 2/25915
Therefore, the GCF of 974/365,1092/355 is 2/25915.
To find the highest common factor of 974,1092, we have to find the factors of both numbers and list the highest common factor.
The factors of 974 are 1, 2, 487, 974
The factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092
The HCF of 974,1092 is 2.
Lets's calculate GCF of 974,1092
| 2 | 974, 1092 |
| 487, 546 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 974,1092 By Matching Biggest Common Factor Method
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 1092
:1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092
Greatest Common Factor
We found the factors 974,1092 . The biggest common factor number is the GCF number.
So the greatest common factor 974,1092 is 2.
Lets's calculate LCM of 365,355
| 5 | 365, 355 |
| 73, 71 |
∴ So the LCM of the given numbers is 5 x 73 x 71 = 25915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25915
Therefore, the GCF of Fractions 974/365,1092/355 is 2/25915
Least Common Multiple of 365,355 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 365,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,355) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,355) x common factors =5 x 1 = 5
LCM(365,355) = ( 365 × 355 ) / 5
LCM(365,355) = 129575 / 5
LCM(365,355) = 25915
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FAQs on GCF of Fractions of 974/365, 1092/355
1. What is the HCF of 974,1092?
The HCF of 974,1092 is 2
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 974/365, 1092/355?
Answer: GCF of Numerators as per given numbers 974/365, 1092/355 is
GCF of Numerators i.e. for 974,1092 is 2
LCM of denominators i.e. for 365,355 is 25915.
Thus, GCF of Fractions is 2/25915.Finally, GCF of Fractions for 974/365, 1092/355 is 2/25915.