GCF of 4625/786, 8106/2137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4625/786, 8106/2137 i.e 1/1679682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4625/786, 8106/2137.
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 4625/786,8106/2137?
Given fractions are 4625/786,8106/2137
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 4625/786,8106/2137, numerators are 4625,8106
Denominators are 786,2137
The GCF of 4625,8106 is 1 .
LCM of 786,2137 is 1679682.
The greatest common factor of 4625/786,8106/2137 = [GCF of 4625,8106]/[LCM of 786,2137]= 1/1679682
Therefore, the GCF of 4625/786,8106/2137 is 1/1679682.
To find the highest common factor of 4625,8106, we have to find the factors of both numbers and list the highest common factor.
The factors of 4625 are 1, 5, 25, 37, 125, 185, 925, 4625
The factors of 8106 are 1, 2, 3, 6, 7, 14, 21, 42, 193, 386, 579, 1158, 1351, 2702, 4053, 8106
The HCF of 4625,8106 is 1.
Lets's calculate GCF of 4625,8106
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4625,8106 By Matching Biggest Common Factor Method
Now, list down the factors of 4625
:1,5,25,37,125,185,925,4625
Now, list down the factors of 8106
:1,2,3,6,7,14,21,42,193,386,579,1158,1351,2702,4053,8106
Greatest Common Factor
We found the factors 4625,8106 . The biggest common factor number is the GCF number.
So the greatest common factor 4625,8106 is 1.
Lets's calculate LCM of 786,2137
Given numbers has no common factors except 1. So, there LCM is their product i.e 1679682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1679682
Therefore, the GCF of Fractions 4625/786,8106/2137 is 1/1679682
Least Common Multiple of 786,2137 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 786,2137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,2137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(786,2137) x common factors =1 x 1 = 1
LCM(786,2137) = ( 786 × 2137 ) / 1
LCM(786,2137) = 1679682 / 1
LCM(786,2137) = 1679682
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FAQs on GCF of Fractions of 4625/786, 8106/2137
1. What is the HCF of 4625,8106?
The HCF of 4625,8106 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 4625/786, 8106/2137?
Answer: GCF of Numerators as per given numbers 4625/786, 8106/2137 is
GCF of Numerators i.e. for 4625,8106 is 1
LCM of denominators i.e. for 786,2137 is 1679682.
Thus, GCF of Fractions is 1/1679682.Finally, GCF of Fractions for 4625/786, 8106/2137 is 1/1679682.