GCF of 6121/994, 2768/3721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6121/994, 2768/3721 i.e 1/3698674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6121/994, 2768/3721.
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 6121/994,2768/3721?
Given fractions are 6121/994,2768/3721
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 6121/994,2768/3721, numerators are 6121,2768
Denominators are 994,3721
The GCF of 6121,2768 is 1 .
LCM of 994,3721 is 3698674.
The greatest common factor of 6121/994,2768/3721 = [GCF of 6121,2768]/[LCM of 994,3721]= 1/3698674
Therefore, the GCF of 6121/994,2768/3721 is 1/3698674.
To find the highest common factor of 6121,2768, we have to find the factors of both numbers and list the highest common factor.
The factors of 6121 are 1, 6121
The factors of 2768 are 1, 2, 4, 8, 16, 173, 346, 692, 1384, 2768
The HCF of 6121,2768 is 1.
Lets's calculate GCF of 6121,2768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6121,2768 By Matching Biggest Common Factor Method
Now, list down the factors of 6121
:1,6121
Now, list down the factors of 2768
:1,2,4,8,16,173,346,692,1384,2768
Greatest Common Factor
We found the factors 6121,2768 . The biggest common factor number is the GCF number.
So the greatest common factor 6121,2768 is 1.
Lets's calculate LCM of 994,3721
Given numbers has no common factors except 1. So, there LCM is their product i.e 3698674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3698674
Therefore, the GCF of Fractions 6121/994,2768/3721 is 1/3698674
Least Common Multiple of 994,3721 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 994,3721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,3721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(994,3721) x common factors =1 x 1 = 1
LCM(994,3721) = ( 994 × 3721 ) / 1
LCM(994,3721) = 3698674 / 1
LCM(994,3721) = 3698674
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FAQs on GCF of Fractions of 6121/994, 2768/3721
1. What is the HCF of 6121,2768?
The HCF of 6121,2768 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 6121/994, 2768/3721?
Answer: GCF of Numerators as per given numbers 6121/994, 2768/3721 is
GCF of Numerators i.e. for 6121,2768 is 1
LCM of denominators i.e. for 994,3721 is 3698674.
Thus, GCF of Fractions is 1/3698674.Finally, GCF of Fractions for 6121/994, 2768/3721 is 1/3698674.