GCF of 7936/874, 1685/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7936/874, 1685/724 i.e 1/316388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7936/874, 1685/724.
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 7936/874,1685/724?
Given fractions are 7936/874,1685/724
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 7936/874,1685/724, numerators are 7936,1685
Denominators are 874,724
The GCF of 7936,1685 is 1 .
LCM of 874,724 is 316388.
The greatest common factor of 7936/874,1685/724 = [GCF of 7936,1685]/[LCM of 874,724]= 1/316388
Therefore, the GCF of 7936/874,1685/724 is 1/316388.
To find the highest common factor of 7936,1685, we have to find the factors of both numbers and list the highest common factor.
The factors of 7936 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 992, 1984, 3968, 7936
The factors of 1685 are 1, 5, 337, 1685
The HCF of 7936,1685 is 1.
Lets's calculate GCF of 7936,1685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7936,1685 By Matching Biggest Common Factor Method
Now, list down the factors of 7936
:1,2,4,8,16,31,32,62,64,124,128,248,256,496,992,1984,3968,7936
Now, list down the factors of 1685
:1,5,337,1685
Greatest Common Factor
We found the factors 7936,1685 . The biggest common factor number is the GCF number.
So the greatest common factor 7936,1685 is 1.
Lets's calculate LCM of 874,724
| 2 | 874, 724 |
| 437, 362 |
∴ So the LCM of the given numbers is 2 x 437 x 362 = 316388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316388
Therefore, the GCF of Fractions 7936/874,1685/724 is 1/316388
Least Common Multiple of 874,724 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 874,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,724) x common factors =2 x 1 = 2
LCM(874,724) = ( 874 × 724 ) / 2
LCM(874,724) = 632776 / 2
LCM(874,724) = 316388
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7936/874, 1685/724
1. What is the HCF of 7936,1685?
The HCF of 7936,1685 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 7936/874, 1685/724?
Answer: GCF of Numerators as per given numbers 7936/874, 1685/724 is
GCF of Numerators i.e. for 7936,1685 is 1
LCM of denominators i.e. for 874,724 is 316388.
Thus, GCF of Fractions is 1/316388.Finally, GCF of Fractions for 7936/874, 1685/724 is 1/316388.