GCF of 6780/874, 9466/3567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6780/874, 9466/3567 i.e 2/3117558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6780/874, 9466/3567.
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 6780/874,9466/3567?
Given fractions are 6780/874,9466/3567
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 6780/874,9466/3567, numerators are 6780,9466
Denominators are 874,3567
The GCF of 6780,9466 is 2 .
LCM of 874,3567 is 3117558.
The greatest common factor of 6780/874,9466/3567 = [GCF of 6780,9466]/[LCM of 874,3567]= 2/3117558
Therefore, the GCF of 6780/874,9466/3567 is 2/3117558.
To find the highest common factor of 6780,9466, we have to find the factors of both numbers and list the highest common factor.
The factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780
The factors of 9466 are 1, 2, 4733, 9466
The HCF of 6780,9466 is 2.
Lets's calculate GCF of 6780,9466
| 2 | 6780, 9466 |
| 3390, 4733 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6780,9466 By Matching Biggest Common Factor Method
Now, list down the factors of 6780
:1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780
Now, list down the factors of 9466
:1,2,4733,9466
Greatest Common Factor
We found the factors 6780,9466 . The biggest common factor number is the GCF number.
So the greatest common factor 6780,9466 is 2.
Lets's calculate LCM of 874,3567
Given numbers has no common factors except 1. So, there LCM is their product i.e 3117558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3117558
Therefore, the GCF of Fractions 6780/874,9466/3567 is 2/3117558
Least Common Multiple of 874,3567 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 874,3567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,3567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,3567) x common factors =1 x 1 = 1
LCM(874,3567) = ( 874 × 3567 ) / 1
LCM(874,3567) = 3117558 / 1
LCM(874,3567) = 3117558
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FAQs on GCF of Fractions of 6780/874, 9466/3567
1. What is the HCF of 6780,9466?
The HCF of 6780,9466 is 2
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 6780/874, 9466/3567?
Answer: GCF of Numerators as per given numbers 6780/874, 9466/3567 is
GCF of Numerators i.e. for 6780,9466 is 2
LCM of denominators i.e. for 874,3567 is 3117558.
Thus, GCF of Fractions is 2/3117558.Finally, GCF of Fractions for 6780/874, 9466/3567 is 2/3117558.