GCF of 5343/874, 4875/702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5343/874, 4875/702 i.e 39/306774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5343/874, 4875/702.
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 5343/874,4875/702?
Given fractions are 5343/874,4875/702
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 5343/874,4875/702, numerators are 5343,4875
Denominators are 874,702
The GCF of 5343,4875 is 39 .
LCM of 874,702 is 306774.
The greatest common factor of 5343/874,4875/702 = [GCF of 5343,4875]/[LCM of 874,702]= 39/306774
Therefore, the GCF of 5343/874,4875/702 is 39/306774.
To find the highest common factor of 5343,4875, we have to find the factors of both numbers and list the highest common factor.
The factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343
The factors of 4875 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875
The HCF of 5343,4875 is 39.
Lets's calculate GCF of 5343,4875
| 3 | 5343, 4875 |
| 13 | 1781, 1625 |
| 137, 125 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 5343,4875 By Matching Biggest Common Factor Method
Now, list down the factors of 5343
:1,3,13,39,137,411,1781,5343
Now, list down the factors of 4875
:1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875
Greatest Common Factor
We found the factors 5343,4875 . The biggest common factor number is the GCF number.
So the greatest common factor 5343,4875 is 39.
Lets's calculate LCM of 874,702
| 2 | 874, 702 |
| 437, 351 |
∴ So the LCM of the given numbers is 2 x 437 x 351 = 306774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/306774
Therefore, the GCF of Fractions 5343/874,4875/702 is 39/306774
Least Common Multiple of 874,702 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 874,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,702) x common factors =2 x 1 = 2
LCM(874,702) = ( 874 × 702 ) / 2
LCM(874,702) = 613548 / 2
LCM(874,702) = 306774
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5343/874, 4875/702
1. What is the HCF of 5343,4875?
The HCF of 5343,4875 is 39
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 5343/874, 4875/702?
Answer: GCF of Numerators as per given numbers 5343/874, 4875/702 is
GCF of Numerators i.e. for 5343,4875 is 39
LCM of denominators i.e. for 874,702 is 306774.
Thus, GCF of Fractions is 39/306774.Finally, GCF of Fractions for 5343/874, 4875/702 is 39/306774.