GCF of 7365/874, 2968/7698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7365/874, 2968/7698 i.e 1/3364026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7365/874, 2968/7698.
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 7365/874,2968/7698?
Given fractions are 7365/874,2968/7698
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 7365/874,2968/7698, numerators are 7365,2968
Denominators are 874,7698
The GCF of 7365,2968 is 1 .
LCM of 874,7698 is 3364026.
The greatest common factor of 7365/874,2968/7698 = [GCF of 7365,2968]/[LCM of 874,7698]= 1/3364026
Therefore, the GCF of 7365/874,2968/7698 is 1/3364026.
To find the highest common factor of 7365,2968, we have to find the factors of both numbers and list the highest common factor.
The factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365
The factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968
The HCF of 7365,2968 is 1.
Lets's calculate GCF of 7365,2968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7365,2968 By Matching Biggest Common Factor Method
Now, list down the factors of 7365
:1,3,5,15,491,1473,2455,7365
Now, list down the factors of 2968
:1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968
Greatest Common Factor
We found the factors 7365,2968 . The biggest common factor number is the GCF number.
So the greatest common factor 7365,2968 is 1.
Lets's calculate LCM of 874,7698
| 2 | 874, 7698 |
| 437, 3849 |
∴ So the LCM of the given numbers is 2 x 437 x 3849 = 3364026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3364026
Therefore, the GCF of Fractions 7365/874,2968/7698 is 1/3364026
Least Common Multiple of 874,7698 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 874,7698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,7698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,7698) x common factors =2 x 1 = 2
LCM(874,7698) = ( 874 × 7698 ) / 2
LCM(874,7698) = 6728052 / 2
LCM(874,7698) = 3364026
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FAQs on GCF of Fractions of 7365/874, 2968/7698
1. What is the HCF of 7365,2968?
The HCF of 7365,2968 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 7365/874, 2968/7698?
Answer: GCF of Numerators as per given numbers 7365/874, 2968/7698 is
GCF of Numerators i.e. for 7365,2968 is 1
LCM of denominators i.e. for 874,7698 is 3364026.
Thus, GCF of Fractions is 1/3364026.Finally, GCF of Fractions for 7365/874, 2968/7698 is 1/3364026.