GCF of 2974/756, 4653/9417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2974/756, 4653/9417 i.e 1/2373084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2974/756, 4653/9417.
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 2974/756,4653/9417?
Given fractions are 2974/756,4653/9417
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 2974/756,4653/9417, numerators are 2974,4653
Denominators are 756,9417
The GCF of 2974,4653 is 1 .
LCM of 756,9417 is 2373084.
The greatest common factor of 2974/756,4653/9417 = [GCF of 2974,4653]/[LCM of 756,9417]= 1/2373084
Therefore, the GCF of 2974/756,4653/9417 is 1/2373084.
To find the highest common factor of 2974,4653, we have to find the factors of both numbers and list the highest common factor.
The factors of 2974 are 1, 2, 1487, 2974
The factors of 4653 are 1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653
The HCF of 2974,4653 is 1.
Lets's calculate GCF of 2974,4653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2974,4653 By Matching Biggest Common Factor Method
Now, list down the factors of 2974
:1,2,1487,2974
Now, list down the factors of 4653
:1,3,9,11,33,47,99,141,423,517,1551,4653
Greatest Common Factor
We found the factors 2974,4653 . The biggest common factor number is the GCF number.
So the greatest common factor 2974,4653 is 1.
Lets's calculate LCM of 756,9417
| 3 | 756, 9417 |
| 252, 3139 |
∴ So the LCM of the given numbers is 3 x 252 x 3139 = 2373084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2373084
Therefore, the GCF of Fractions 2974/756,4653/9417 is 1/2373084
Least Common Multiple of 756,9417 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 756,9417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,9417) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(756,9417) x common factors =3 x 1 = 3
LCM(756,9417) = ( 756 × 9417 ) / 3
LCM(756,9417) = 7119252 / 3
LCM(756,9417) = 2373084
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FAQs on GCF of Fractions of 2974/756, 4653/9417
1. What is the HCF of 2974,4653?
The HCF of 2974,4653 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 2974/756, 4653/9417?
Answer: GCF of Numerators as per given numbers 2974/756, 4653/9417 is
GCF of Numerators i.e. for 2974,4653 is 1
LCM of denominators i.e. for 756,9417 is 2373084.
Thus, GCF of Fractions is 1/2373084.Finally, GCF of Fractions for 2974/756, 4653/9417 is 1/2373084.