GCF of 3125/880, 8157/452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3125/880, 8157/452 i.e 1/99440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3125/880, 8157/452.
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 3125/880,8157/452?
Given fractions are 3125/880,8157/452
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 3125/880,8157/452, numerators are 3125,8157
Denominators are 880,452
The GCF of 3125,8157 is 1 .
LCM of 880,452 is 99440.
The greatest common factor of 3125/880,8157/452 = [GCF of 3125,8157]/[LCM of 880,452]= 1/99440
Therefore, the GCF of 3125/880,8157/452 is 1/99440.
To find the highest common factor of 3125,8157, we have to find the factors of both numbers and list the highest common factor.
The factors of 3125 are 1, 5, 25, 125, 625, 3125
The factors of 8157 are 1, 3, 2719, 8157
The HCF of 3125,8157 is 1.
Lets's calculate GCF of 3125,8157
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3125,8157 By Matching Biggest Common Factor Method
Now, list down the factors of 3125
:1,5,25,125,625,3125
Now, list down the factors of 8157
:1,3,2719,8157
Greatest Common Factor
We found the factors 3125,8157 . The biggest common factor number is the GCF number.
So the greatest common factor 3125,8157 is 1.
Lets's calculate LCM of 880,452
| 2 | 880, 452 |
| 2 | 440, 226 |
| 220, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 220 x 113 = 99440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99440
Therefore, the GCF of Fractions 3125/880,8157/452 is 1/99440
Least Common Multiple of 880,452 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 880,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,452) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(880,452) x common factors =4 x 1 = 4
LCM(880,452) = ( 880 × 452 ) / 4
LCM(880,452) = 397760 / 4
LCM(880,452) = 99440
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FAQs on GCF of Fractions of 3125/880, 8157/452
1. What is the HCF of 3125,8157?
The HCF of 3125,8157 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 3125/880, 8157/452?
Answer: GCF of Numerators as per given numbers 3125/880, 8157/452 is
GCF of Numerators i.e. for 3125,8157 is 1
LCM of denominators i.e. for 880,452 is 99440.
Thus, GCF of Fractions is 1/99440.Finally, GCF of Fractions for 3125/880, 8157/452 is 1/99440.