GCF of 2507/772, 2462/812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2507/772, 2462/812 i.e 1/156716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2507/772, 2462/812.
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 2507/772,2462/812?
Given fractions are 2507/772,2462/812
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 2507/772,2462/812, numerators are 2507,2462
Denominators are 772,812
The GCF of 2507,2462 is 1 .
LCM of 772,812 is 156716.
The greatest common factor of 2507/772,2462/812 = [GCF of 2507,2462]/[LCM of 772,812]= 1/156716
Therefore, the GCF of 2507/772,2462/812 is 1/156716.
To find the highest common factor of 2507,2462, we have to find the factors of both numbers and list the highest common factor.
The factors of 2507 are 1, 23, 109, 2507
The factors of 2462 are 1, 2, 1231, 2462
The HCF of 2507,2462 is 1.
Lets's calculate GCF of 2507,2462
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2507,2462 By Matching Biggest Common Factor Method
Now, list down the factors of 2507
:1,23,109,2507
Now, list down the factors of 2462
:1,2,1231,2462
Greatest Common Factor
We found the factors 2507,2462 . The biggest common factor number is the GCF number.
So the greatest common factor 2507,2462 is 1.
Lets's calculate LCM of 772,812
| 2 | 772, 812 |
| 2 | 386, 406 |
| 193, 203 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 203 = 156716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156716
Therefore, the GCF of Fractions 2507/772,2462/812 is 1/156716
Least Common Multiple of 772,812 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 772,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,812) x common factors =4 x 1 = 4
LCM(772,812) = ( 772 × 812 ) / 4
LCM(772,812) = 626864 / 4
LCM(772,812) = 156716
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FAQs on GCF of Fractions of 2507/772, 2462/812
1. What is the HCF of 2507,2462?
The HCF of 2507,2462 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 2507/772, 2462/812?
Answer: GCF of Numerators as per given numbers 2507/772, 2462/812 is
GCF of Numerators i.e. for 2507,2462 is 1
LCM of denominators i.e. for 772,812 is 156716.
Thus, GCF of Fractions is 1/156716.Finally, GCF of Fractions for 2507/772, 2462/812 is 1/156716.