GCF of 3721/988, 2768/9134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3721/988, 2768/9134 i.e 1/4512196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3721/988, 2768/9134.
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 3721/988,2768/9134?
Given fractions are 3721/988,2768/9134
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 3721/988,2768/9134, numerators are 3721,2768
Denominators are 988,9134
The GCF of 3721,2768 is 1 .
LCM of 988,9134 is 4512196.
The greatest common factor of 3721/988,2768/9134 = [GCF of 3721,2768]/[LCM of 988,9134]= 1/4512196
Therefore, the GCF of 3721/988,2768/9134 is 1/4512196.
To find the highest common factor of 3721,2768, we have to find the factors of both numbers and list the highest common factor.
The factors of 3721 are 1, 61, 3721
The factors of 2768 are 1, 2, 4, 8, 16, 173, 346, 692, 1384, 2768
The HCF of 3721,2768 is 1.
Lets's calculate GCF of 3721,2768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3721,2768 By Matching Biggest Common Factor Method
Now, list down the factors of 3721
:1,61,3721
Now, list down the factors of 2768
:1,2,4,8,16,173,346,692,1384,2768
Greatest Common Factor
We found the factors 3721,2768 . The biggest common factor number is the GCF number.
So the greatest common factor 3721,2768 is 1.
Lets's calculate LCM of 988,9134
| 2 | 988, 9134 |
| 494, 4567 |
∴ So the LCM of the given numbers is 2 x 494 x 4567 = 4512196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4512196
Therefore, the GCF of Fractions 3721/988,2768/9134 is 1/4512196
Least Common Multiple of 988,9134 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 988,9134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,9134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(988,9134) x common factors =2 x 1 = 2
LCM(988,9134) = ( 988 × 9134 ) / 2
LCM(988,9134) = 9024392 / 2
LCM(988,9134) = 4512196
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FAQs on GCF of Fractions of 3721/988, 2768/9134
1. What is the HCF of 3721,2768?
The HCF of 3721,2768 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 3721/988, 2768/9134?
Answer: GCF of Numerators as per given numbers 3721/988, 2768/9134 is
GCF of Numerators i.e. for 3721,2768 is 1
LCM of denominators i.e. for 988,9134 is 4512196.
Thus, GCF of Fractions is 1/4512196.Finally, GCF of Fractions for 3721/988, 2768/9134 is 1/4512196.