GCF of 9250/859, 1074/1016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9250/859, 1074/1016 i.e 2/872744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9250/859, 1074/1016.
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 9250/859,1074/1016?
Given fractions are 9250/859,1074/1016
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 9250/859,1074/1016, numerators are 9250,1074
Denominators are 859,1016
The GCF of 9250,1074 is 2 .
LCM of 859,1016 is 872744.
The greatest common factor of 9250/859,1074/1016 = [GCF of 9250,1074]/[LCM of 859,1016]= 2/872744
Therefore, the GCF of 9250/859,1074/1016 is 2/872744.
To find the highest common factor of 9250,1074, we have to find the factors of both numbers and list the highest common factor.
The factors of 9250 are 1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250
The factors of 1074 are 1, 2, 3, 6, 179, 358, 537, 1074
The HCF of 9250,1074 is 2.
Lets's calculate GCF of 9250,1074
| 2 | 9250, 1074 |
| 4625, 537 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9250,1074 By Matching Biggest Common Factor Method
Now, list down the factors of 9250
:1,2,5,10,25,37,50,74,125,185,250,370,925,1850,4625,9250
Now, list down the factors of 1074
:1,2,3,6,179,358,537,1074
Greatest Common Factor
We found the factors 9250,1074 . The biggest common factor number is the GCF number.
So the greatest common factor 9250,1074 is 2.
Lets's calculate LCM of 859,1016
Given numbers has no common factors except 1. So, there LCM is their product i.e 872744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/872744
Therefore, the GCF of Fractions 9250/859,1074/1016 is 2/872744
Least Common Multiple of 859,1016 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 859,1016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,1016) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,1016) x common factors =1 x 1 = 1
LCM(859,1016) = ( 859 × 1016 ) / 1
LCM(859,1016) = 872744 / 1
LCM(859,1016) = 872744
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FAQs on GCF of Fractions of 9250/859, 1074/1016
1. What is the HCF of 9250,1074?
The HCF of 9250,1074 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 9250/859, 1074/1016?
Answer: GCF of Numerators as per given numbers 9250/859, 1074/1016 is
GCF of Numerators i.e. for 9250,1074 is 2
LCM of denominators i.e. for 859,1016 is 872744.
Thus, GCF of Fractions is 2/872744.Finally, GCF of Fractions for 9250/859, 1074/1016 is 2/872744.