GCF of 7395/874, 5787/1236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7395/874, 5787/1236 i.e 3/540132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7395/874, 5787/1236.
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 7395/874,5787/1236?
Given fractions are 7395/874,5787/1236
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 7395/874,5787/1236, numerators are 7395,5787
Denominators are 874,1236
The GCF of 7395,5787 is 3 .
LCM of 874,1236 is 540132.
The greatest common factor of 7395/874,5787/1236 = [GCF of 7395,5787]/[LCM of 874,1236]= 3/540132
Therefore, the GCF of 7395/874,5787/1236 is 3/540132.
To find the highest common factor of 7395,5787, we have to find the factors of both numbers and list the highest common factor.
The factors of 7395 are 1, 3, 5, 15, 17, 29, 51, 85, 87, 145, 255, 435, 493, 1479, 2465, 7395
The factors of 5787 are 1, 3, 9, 643, 1929, 5787
The HCF of 7395,5787 is 3.
Lets's calculate GCF of 7395,5787
| 3 | 7395, 5787 |
| 2465, 1929 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7395,5787 By Matching Biggest Common Factor Method
Now, list down the factors of 7395
:1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395
Now, list down the factors of 5787
:1,3,9,643,1929,5787
Greatest Common Factor
We found the factors 7395,5787 . The biggest common factor number is the GCF number.
So the greatest common factor 7395,5787 is 3.
Lets's calculate LCM of 874,1236
| 2 | 874, 1236 |
| 437, 618 |
∴ So the LCM of the given numbers is 2 x 437 x 618 = 540132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/540132
Therefore, the GCF of Fractions 7395/874,5787/1236 is 3/540132
Least Common Multiple of 874,1236 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 874,1236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,1236) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,1236) x common factors =2 x 1 = 2
LCM(874,1236) = ( 874 × 1236 ) / 2
LCM(874,1236) = 1080264 / 2
LCM(874,1236) = 540132
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FAQs on GCF of Fractions of 7395/874, 5787/1236
1. What is the HCF of 7395,5787?
The HCF of 7395,5787 is 3
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 7395/874, 5787/1236?
Answer: GCF of Numerators as per given numbers 7395/874, 5787/1236 is
GCF of Numerators i.e. for 7395,5787 is 3
LCM of denominators i.e. for 874,1236 is 540132.
Thus, GCF of Fractions is 3/540132.Finally, GCF of Fractions for 7395/874, 5787/1236 is 3/540132.