GCF of 625/31, 420/3846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 625/31, 420/3846 i.e 5/119226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 625/31, 420/3846.
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 625/31,420/3846?
Given fractions are 625/31,420/3846
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 625/31,420/3846, numerators are 625,420
Denominators are 31,3846
The GCF of 625,420 is 5 .
LCM of 31,3846 is 119226.
The greatest common factor of 625/31,420/3846 = [GCF of 625,420]/[LCM of 31,3846]= 5/119226
Therefore, the GCF of 625/31,420/3846 is 5/119226.
To find the highest common factor of 625,420, 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 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 625,420 is 5.
Lets's calculate GCF of 625,420
| 5 | 625, 420 |
| 125, 84 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 625,420 By Matching Biggest Common Factor Method
Now, list down the factors of 625
:1,5,25,125,625
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 625,420 . The biggest common factor number is the GCF number.
So the greatest common factor 625,420 is 5.
Lets's calculate LCM of 31,3846
Given numbers has no common factors except 1. So, there LCM is their product i.e 119226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/119226
Therefore, the GCF of Fractions 625/31,420/3846 is 5/119226
Least Common Multiple of 31,3846 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 31,3846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,3846) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,3846) x common factors =1 x 1 = 1
LCM(31,3846) = ( 31 × 3846 ) / 1
LCM(31,3846) = 119226 / 1
LCM(31,3846) = 119226
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FAQs on GCF of Fractions of 625/31, 420/3846
1. What is the HCF of 625,420?
The HCF of 625,420 is 5
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 625/31, 420/3846?
Answer: GCF of Numerators as per given numbers 625/31, 420/3846 is
GCF of Numerators i.e. for 625,420 is 5
LCM of denominators i.e. for 31,3846 is 119226.
Thus, GCF of Fractions is 5/119226.Finally, GCF of Fractions for 625/31, 420/3846 is 5/119226.