GCF of 3757/516, 7067/6987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3757/516, 7067/6987 i.e 1/1201764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3757/516, 7067/6987.
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 3757/516,7067/6987?
Given fractions are 3757/516,7067/6987
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 3757/516,7067/6987, numerators are 3757,7067
Denominators are 516,6987
The GCF of 3757,7067 is 1 .
LCM of 516,6987 is 1201764.
The greatest common factor of 3757/516,7067/6987 = [GCF of 3757,7067]/[LCM of 516,6987]= 1/1201764
Therefore, the GCF of 3757/516,7067/6987 is 1/1201764.
To find the highest common factor of 3757,7067, we have to find the factors of both numbers and list the highest common factor.
The factors of 3757 are 1, 13, 17, 221, 289, 3757
The factors of 7067 are 1, 37, 191, 7067
The HCF of 3757,7067 is 1.
Lets's calculate GCF of 3757,7067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3757,7067 By Matching Biggest Common Factor Method
Now, list down the factors of 3757
:1,13,17,221,289,3757
Now, list down the factors of 7067
:1,37,191,7067
Greatest Common Factor
We found the factors 3757,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 3757,7067 is 1.
Lets's calculate LCM of 516,6987
| 3 | 516, 6987 |
| 172, 2329 |
∴ So the LCM of the given numbers is 3 x 172 x 2329 = 1201764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1201764
Therefore, the GCF of Fractions 3757/516,7067/6987 is 1/1201764
Least Common Multiple of 516,6987 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 516,6987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,6987) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(516,6987) x common factors =3 x 1 = 3
LCM(516,6987) = ( 516 × 6987 ) / 3
LCM(516,6987) = 3605292 / 3
LCM(516,6987) = 1201764
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FAQs on GCF of Fractions of 3757/516, 7067/6987
1. What is the HCF of 3757,7067?
The HCF of 3757,7067 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 3757/516, 7067/6987?
Answer: GCF of Numerators as per given numbers 3757/516, 7067/6987 is
GCF of Numerators i.e. for 3757,7067 is 1
LCM of denominators i.e. for 516,6987 is 1201764.
Thus, GCF of Fractions is 1/1201764.Finally, GCF of Fractions for 3757/516, 7067/6987 is 1/1201764.