GCF of 2757/752, 2689/3974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2757/752, 2689/3974 i.e 1/1494224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2757/752, 2689/3974.
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 2757/752,2689/3974?
Given fractions are 2757/752,2689/3974
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 2757/752,2689/3974, numerators are 2757,2689
Denominators are 752,3974
The GCF of 2757,2689 is 1 .
LCM of 752,3974 is 1494224.
The greatest common factor of 2757/752,2689/3974 = [GCF of 2757,2689]/[LCM of 752,3974]= 1/1494224
Therefore, the GCF of 2757/752,2689/3974 is 1/1494224.
To find the highest common factor of 2757,2689, we have to find the factors of both numbers and list the highest common factor.
The factors of 2757 are 1, 3, 919, 2757
The factors of 2689 are 1, 2689
The HCF of 2757,2689 is 1.
Lets's calculate GCF of 2757,2689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2757,2689 By Matching Biggest Common Factor Method
Now, list down the factors of 2757
:1,3,919,2757
Now, list down the factors of 2689
:1,2689
Greatest Common Factor
We found the factors 2757,2689 . The biggest common factor number is the GCF number.
So the greatest common factor 2757,2689 is 1.
Lets's calculate LCM of 752,3974
| 2 | 752, 3974 |
| 376, 1987 |
∴ So the LCM of the given numbers is 2 x 376 x 1987 = 1494224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1494224
Therefore, the GCF of Fractions 2757/752,2689/3974 is 1/1494224
Least Common Multiple of 752,3974 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 752,3974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,3974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(752,3974) x common factors =2 x 1 = 2
LCM(752,3974) = ( 752 × 3974 ) / 2
LCM(752,3974) = 2988448 / 2
LCM(752,3974) = 1494224
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FAQs on GCF of Fractions of 2757/752, 2689/3974
1. What is the HCF of 2757,2689?
The HCF of 2757,2689 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 2757/752, 2689/3974?
Answer: GCF of Numerators as per given numbers 2757/752, 2689/3974 is
GCF of Numerators i.e. for 2757,2689 is 1
LCM of denominators i.e. for 752,3974 is 1494224.
Thus, GCF of Fractions is 1/1494224.Finally, GCF of Fractions for 2757/752, 2689/3974 is 1/1494224.