GCF of 625/312, 200/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 625/312, 200/638 i.e 25/99528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 625/312, 200/638.
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 625/312,200/638?
Given fractions are 625/312,200/638
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 625/312,200/638, numerators are 625,200
Denominators are 312,638
The GCF of 625,200 is 25 .
LCM of 312,638 is 99528.
The greatest common factor of 625/312,200/638 = [GCF of 625,200]/[LCM of 312,638]= 25/99528
Therefore, the GCF of 625/312,200/638 is 25/99528.
To find the highest common factor of 625,200, 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 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The HCF of 625,200 is 25.
Lets's calculate GCF of 625,200
| 5 | 625, 200 |
| 5 | 125, 40 |
| 25, 8 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 625,200 By Matching Biggest Common Factor Method
Now, list down the factors of 625
:1,5,25,125,625
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 625,200 . The biggest common factor number is the GCF number.
So the greatest common factor 625,200 is 25.
Lets's calculate LCM of 312,638
| 2 | 312, 638 |
| 156, 319 |
∴ So the LCM of the given numbers is 2 x 156 x 319 = 99528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/99528
Therefore, the GCF of Fractions 625/312,200/638 is 25/99528
Least Common Multiple of 312,638 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 312,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(312,638) x common factors =2 x 1 = 2
LCM(312,638) = ( 312 × 638 ) / 2
LCM(312,638) = 199056 / 2
LCM(312,638) = 99528
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FAQs on GCF of Fractions of 625/312, 200/638
1. What is the HCF of 625,200?
The HCF of 625,200 is 25
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 625/312, 200/638?
Answer: GCF of Numerators as per given numbers 625/312, 200/638 is
GCF of Numerators i.e. for 625,200 is 25
LCM of denominators i.e. for 312,638 is 99528.
Thus, GCF of Fractions is 25/99528.Finally, GCF of Fractions for 625/312, 200/638 is 25/99528.