GCF of 1354/748, 8720/631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1354/748, 8720/631 i.e 2/471988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1354/748, 8720/631.
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 1354/748,8720/631?
Given fractions are 1354/748,8720/631
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 1354/748,8720/631, numerators are 1354,8720
Denominators are 748,631
The GCF of 1354,8720 is 2 .
LCM of 748,631 is 471988.
The greatest common factor of 1354/748,8720/631 = [GCF of 1354,8720]/[LCM of 748,631]= 2/471988
Therefore, the GCF of 1354/748,8720/631 is 2/471988.
To find the highest common factor of 1354,8720, we have to find the factors of both numbers and list the highest common factor.
The factors of 1354 are 1, 2, 677, 1354
The factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720
The HCF of 1354,8720 is 2.
Lets's calculate GCF of 1354,8720
| 2 | 1354, 8720 |
| 677, 4360 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1354,8720 By Matching Biggest Common Factor Method
Now, list down the factors of 1354
:1,2,677,1354
Now, list down the factors of 8720
:1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720
Greatest Common Factor
We found the factors 1354,8720 . The biggest common factor number is the GCF number.
So the greatest common factor 1354,8720 is 2.
Lets's calculate LCM of 748,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 471988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/471988
Therefore, the GCF of Fractions 1354/748,8720/631 is 2/471988
Least Common Multiple of 748,631 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 748,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,631) x common factors =1 x 1 = 1
LCM(748,631) = ( 748 × 631 ) / 1
LCM(748,631) = 471988 / 1
LCM(748,631) = 471988
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1354/748, 8720/631
1. What is the HCF of 1354,8720?
The HCF of 1354,8720 is 2
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 1354/748, 8720/631?
Answer: GCF of Numerators as per given numbers 1354/748, 8720/631 is
GCF of Numerators i.e. for 1354,8720 is 2
LCM of denominators i.e. for 748,631 is 471988.
Thus, GCF of Fractions is 2/471988.Finally, GCF of Fractions for 1354/748, 8720/631 is 2/471988.