GCF of 2825/276, 3131/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2825/276, 3131/420 i.e 1/9660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2825/276, 3131/420.
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 2825/276,3131/420?
Given fractions are 2825/276,3131/420
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 2825/276,3131/420, numerators are 2825,3131
Denominators are 276,420
The GCF of 2825,3131 is 1 .
LCM of 276,420 is 9660.
The greatest common factor of 2825/276,3131/420 = [GCF of 2825,3131]/[LCM of 276,420]= 1/9660
Therefore, the GCF of 2825/276,3131/420 is 1/9660.
To find the highest common factor of 2825,3131, we have to find the factors of both numbers and list the highest common factor.
The factors of 2825 are 1, 5, 25, 113, 565, 2825
The factors of 3131 are 1, 31, 101, 3131
The HCF of 2825,3131 is 1.
Lets's calculate GCF of 2825,3131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2825,3131 By Matching Biggest Common Factor Method
Now, list down the factors of 2825
:1,5,25,113,565,2825
Now, list down the factors of 3131
:1,31,101,3131
Greatest Common Factor
We found the factors 2825,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 2825,3131 is 1.
Lets's calculate LCM of 276,420
| 2 | 276, 420 |
| 2 | 138, 210 |
| 3 | 69, 105 |
| 23, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 35 = 9660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9660
Therefore, the GCF of Fractions 2825/276,3131/420 is 1/9660
Least Common Multiple of 276,420 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 276,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,420) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(276,420) x common factors =12 x 1 = 12
LCM(276,420) = ( 276 × 420 ) / 12
LCM(276,420) = 115920 / 12
LCM(276,420) = 9660
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FAQs on GCF of Fractions of 2825/276, 3131/420
1. What is the HCF of 2825,3131?
The HCF of 2825,3131 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 2825/276, 3131/420?
Answer: GCF of Numerators as per given numbers 2825/276, 3131/420 is
GCF of Numerators i.e. for 2825,3131 is 1
LCM of denominators i.e. for 276,420 is 9660.
Thus, GCF of Fractions is 1/9660.Finally, GCF of Fractions for 2825/276, 3131/420 is 1/9660.