GCF of 9526/170, 7242/807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9526/170, 7242/807 i.e 2/137190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9526/170, 7242/807.
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 9526/170,7242/807?
Given fractions are 9526/170,7242/807
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 9526/170,7242/807, numerators are 9526,7242
Denominators are 170,807
The GCF of 9526,7242 is 2 .
LCM of 170,807 is 137190.
The greatest common factor of 9526/170,7242/807 = [GCF of 9526,7242]/[LCM of 170,807]= 2/137190
Therefore, the GCF of 9526/170,7242/807 is 2/137190.
To find the highest common factor of 9526,7242, we have to find the factors of both numbers and list the highest common factor.
The factors of 9526 are 1, 2, 11, 22, 433, 866, 4763, 9526
The factors of 7242 are 1, 2, 3, 6, 17, 34, 51, 71, 102, 142, 213, 426, 1207, 2414, 3621, 7242
The HCF of 9526,7242 is 2.
Lets's calculate GCF of 9526,7242
| 2 | 9526, 7242 |
| 4763, 3621 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9526,7242 By Matching Biggest Common Factor Method
Now, list down the factors of 9526
:1,2,11,22,433,866,4763,9526
Now, list down the factors of 7242
:1,2,3,6,17,34,51,71,102,142,213,426,1207,2414,3621,7242
Greatest Common Factor
We found the factors 9526,7242 . The biggest common factor number is the GCF number.
So the greatest common factor 9526,7242 is 2.
Lets's calculate LCM of 170,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 137190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137190
Therefore, the GCF of Fractions 9526/170,7242/807 is 2/137190
Least Common Multiple of 170,807 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 170,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(170,807) x common factors =1 x 1 = 1
LCM(170,807) = ( 170 × 807 ) / 1
LCM(170,807) = 137190 / 1
LCM(170,807) = 137190
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FAQs on GCF of Fractions of 9526/170, 7242/807
1. What is the HCF of 9526,7242?
The HCF of 9526,7242 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 9526/170, 7242/807?
Answer: GCF of Numerators as per given numbers 9526/170, 7242/807 is
GCF of Numerators i.e. for 9526,7242 is 2
LCM of denominators i.e. for 170,807 is 137190.
Thus, GCF of Fractions is 2/137190.Finally, GCF of Fractions for 9526/170, 7242/807 is 2/137190.