GCF of 625/700, 1577/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 625/700, 1577/418 i.e 1/146300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 625/700, 1577/418.
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 625/700,1577/418?
Given fractions are 625/700,1577/418
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 625/700,1577/418, numerators are 625,1577
Denominators are 700,418
The GCF of 625,1577 is 1 .
LCM of 700,418 is 146300.
The greatest common factor of 625/700,1577/418 = [GCF of 625,1577]/[LCM of 700,418]= 1/146300
Therefore, the GCF of 625/700,1577/418 is 1/146300.
To find the highest common factor of 625,1577, we have to find the factors of both numbers and list the highest common factor.
The factors of 625 are 1, 5, 25, 125, 625
The factors of 1577 are 1, 19, 83, 1577
The HCF of 625,1577 is 1.
Lets's calculate GCF of 625,1577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 625,1577 By Matching Biggest Common Factor Method
Now, list down the factors of 625
:1,5,25,125,625
Now, list down the factors of 1577
:1,19,83,1577
Greatest Common Factor
We found the factors 625,1577 . The biggest common factor number is the GCF number.
So the greatest common factor 625,1577 is 1.
Lets's calculate LCM of 700,418
| 2 | 700, 418 |
| 350, 209 |
∴ So the LCM of the given numbers is 2 x 350 x 209 = 146300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146300
Therefore, the GCF of Fractions 625/700,1577/418 is 1/146300
Least Common Multiple of 700,418 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 700,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(700,418) x common factors =2 x 1 = 2
LCM(700,418) = ( 700 × 418 ) / 2
LCM(700,418) = 292600 / 2
LCM(700,418) = 146300
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FAQs on GCF of Fractions of 625/700, 1577/418
1. What is the HCF of 625,1577?
The HCF of 625,1577 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 625/700, 1577/418?
Answer: GCF of Numerators as per given numbers 625/700, 1577/418 is
GCF of Numerators i.e. for 625,1577 is 1
LCM of denominators i.e. for 700,418 is 146300.
Thus, GCF of Fractions is 1/146300.Finally, GCF of Fractions for 625/700, 1577/418 is 1/146300.