GCF of 1625/678, 5198/7610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1625/678, 5198/7610 i.e 1/2579790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1625/678, 5198/7610.
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 1625/678,5198/7610?
Given fractions are 1625/678,5198/7610
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 1625/678,5198/7610, numerators are 1625,5198
Denominators are 678,7610
The GCF of 1625,5198 is 1 .
LCM of 678,7610 is 2579790.
The greatest common factor of 1625/678,5198/7610 = [GCF of 1625,5198]/[LCM of 678,7610]= 1/2579790
Therefore, the GCF of 1625/678,5198/7610 is 1/2579790.
To find the highest common factor of 1625,5198, we have to find the factors of both numbers and list the highest common factor.
The factors of 1625 are 1, 5, 13, 25, 65, 125, 325, 1625
The factors of 5198 are 1, 2, 23, 46, 113, 226, 2599, 5198
The HCF of 1625,5198 is 1.
Lets's calculate GCF of 1625,5198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1625,5198 By Matching Biggest Common Factor Method
Now, list down the factors of 1625
:1,5,13,25,65,125,325,1625
Now, list down the factors of 5198
:1,2,23,46,113,226,2599,5198
Greatest Common Factor
We found the factors 1625,5198 . The biggest common factor number is the GCF number.
So the greatest common factor 1625,5198 is 1.
Lets's calculate LCM of 678,7610
| 2 | 678, 7610 |
| 339, 3805 |
∴ So the LCM of the given numbers is 2 x 339 x 3805 = 2579790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2579790
Therefore, the GCF of Fractions 1625/678,5198/7610 is 1/2579790
Least Common Multiple of 678,7610 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 678,7610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,7610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,7610) x common factors =2 x 1 = 2
LCM(678,7610) = ( 678 × 7610 ) / 2
LCM(678,7610) = 5159580 / 2
LCM(678,7610) = 2579790
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FAQs on GCF of Fractions of 1625/678, 5198/7610
1. What is the HCF of 1625,5198?
The HCF of 1625,5198 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 1625/678, 5198/7610?
Answer: GCF of Numerators as per given numbers 1625/678, 5198/7610 is
GCF of Numerators i.e. for 1625,5198 is 1
LCM of denominators i.e. for 678,7610 is 2579790.
Thus, GCF of Fractions is 1/2579790.Finally, GCF of Fractions for 1625/678, 5198/7610 is 1/2579790.