GCF of 7775/139, 9036/8134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7775/139, 9036/8134 i.e 1/1130626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7775/139, 9036/8134.
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 7775/139,9036/8134?
Given fractions are 7775/139,9036/8134
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 7775/139,9036/8134, numerators are 7775,9036
Denominators are 139,8134
The GCF of 7775,9036 is 1 .
LCM of 139,8134 is 1130626.
The greatest common factor of 7775/139,9036/8134 = [GCF of 7775,9036]/[LCM of 139,8134]= 1/1130626
Therefore, the GCF of 7775/139,9036/8134 is 1/1130626.
To find the highest common factor of 7775,9036, we have to find the factors of both numbers and list the highest common factor.
The factors of 7775 are 1, 5, 25, 311, 1555, 7775
The factors of 9036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036
The HCF of 7775,9036 is 1.
Lets's calculate GCF of 7775,9036
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7775,9036 By Matching Biggest Common Factor Method
Now, list down the factors of 7775
:1,5,25,311,1555,7775
Now, list down the factors of 9036
:1,2,3,4,6,9,12,18,36,251,502,753,1004,1506,2259,3012,4518,9036
Greatest Common Factor
We found the factors 7775,9036 . The biggest common factor number is the GCF number.
So the greatest common factor 7775,9036 is 1.
Lets's calculate LCM of 139,8134
Given numbers has no common factors except 1. So, there LCM is their product i.e 1130626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1130626
Therefore, the GCF of Fractions 7775/139,9036/8134 is 1/1130626
Least Common Multiple of 139,8134 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 139,8134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,8134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,8134) x common factors =1 x 1 = 1
LCM(139,8134) = ( 139 × 8134 ) / 1
LCM(139,8134) = 1130626 / 1
LCM(139,8134) = 1130626
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FAQs on GCF of Fractions of 7775/139, 9036/8134
1. What is the HCF of 7775,9036?
The HCF of 7775,9036 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 7775/139, 9036/8134?
Answer: GCF of Numerators as per given numbers 7775/139, 9036/8134 is
GCF of Numerators i.e. for 7775,9036 is 1
LCM of denominators i.e. for 139,8134 is 1130626.
Thus, GCF of Fractions is 1/1130626.Finally, GCF of Fractions for 7775/139, 9036/8134 is 1/1130626.