GCF of 1976/340, 5936/8974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1976/340, 5936/8974 i.e 8/1525580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1976/340, 5936/8974.
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 1976/340,5936/8974?
Given fractions are 1976/340,5936/8974
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 1976/340,5936/8974, numerators are 1976,5936
Denominators are 340,8974
The GCF of 1976,5936 is 8 .
LCM of 340,8974 is 1525580.
The greatest common factor of 1976/340,5936/8974 = [GCF of 1976,5936]/[LCM of 340,8974]= 8/1525580
Therefore, the GCF of 1976/340,5936/8974 is 8/1525580.
To find the highest common factor of 1976,5936, we have to find the factors of both numbers and list the highest common factor.
The factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976
The factors of 5936 are 1, 2, 4, 7, 8, 14, 16, 28, 53, 56, 106, 112, 212, 371, 424, 742, 848, 1484, 2968, 5936
The HCF of 1976,5936 is 8.
Lets's calculate GCF of 1976,5936
| 2 | 1976, 5936 |
| 2 | 988, 2968 |
| 2 | 494, 1484 |
| 247, 742 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1976,5936 By Matching Biggest Common Factor Method
Now, list down the factors of 1976
:1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976
Now, list down the factors of 5936
:1,2,4,7,8,14,16,28,53,56,106,112,212,371,424,742,848,1484,2968,5936
Greatest Common Factor
We found the factors 1976,5936 . The biggest common factor number is the GCF number.
So the greatest common factor 1976,5936 is 8.
Lets's calculate LCM of 340,8974
| 2 | 340, 8974 |
| 170, 4487 |
∴ So the LCM of the given numbers is 2 x 170 x 4487 = 1525580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1525580
Therefore, the GCF of Fractions 1976/340,5936/8974 is 8/1525580
Least Common Multiple of 340,8974 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 340,8974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,8974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(340,8974) x common factors =2 x 1 = 2
LCM(340,8974) = ( 340 × 8974 ) / 2
LCM(340,8974) = 3051160 / 2
LCM(340,8974) = 1525580
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1976/340, 5936/8974
1. What is the HCF of 1976,5936?
The HCF of 1976,5936 is 8
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 1976/340, 5936/8974?
Answer: GCF of Numerators as per given numbers 1976/340, 5936/8974 is
GCF of Numerators i.e. for 1976,5936 is 8
LCM of denominators i.e. for 340,8974 is 1525580.
Thus, GCF of Fractions is 8/1525580.Finally, GCF of Fractions for 1976/340, 5936/8974 is 8/1525580.