GCF of 3327/726, 4970/2092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3327/726, 4970/2092 i.e 1/759396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3327/726, 4970/2092.
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 3327/726,4970/2092?
Given fractions are 3327/726,4970/2092
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 3327/726,4970/2092, numerators are 3327,4970
Denominators are 726,2092
The GCF of 3327,4970 is 1 .
LCM of 726,2092 is 759396.
The greatest common factor of 3327/726,4970/2092 = [GCF of 3327,4970]/[LCM of 726,2092]= 1/759396
Therefore, the GCF of 3327/726,4970/2092 is 1/759396.
To find the highest common factor of 3327,4970, we have to find the factors of both numbers and list the highest common factor.
The factors of 3327 are 1, 3, 1109, 3327
The factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970
The HCF of 3327,4970 is 1.
Lets's calculate GCF of 3327,4970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3327,4970 By Matching Biggest Common Factor Method
Now, list down the factors of 3327
:1,3,1109,3327
Now, list down the factors of 4970
:1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970
Greatest Common Factor
We found the factors 3327,4970 . The biggest common factor number is the GCF number.
So the greatest common factor 3327,4970 is 1.
Lets's calculate LCM of 726,2092
| 2 | 726, 2092 |
| 363, 1046 |
∴ So the LCM of the given numbers is 2 x 363 x 1046 = 759396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/759396
Therefore, the GCF of Fractions 3327/726,4970/2092 is 1/759396
Least Common Multiple of 726,2092 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 726,2092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,2092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,2092) x common factors =2 x 1 = 2
LCM(726,2092) = ( 726 × 2092 ) / 2
LCM(726,2092) = 1518792 / 2
LCM(726,2092) = 759396
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FAQs on GCF of Fractions of 3327/726, 4970/2092
1. What is the HCF of 3327,4970?
The HCF of 3327,4970 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 3327/726, 4970/2092?
Answer: GCF of Numerators as per given numbers 3327/726, 4970/2092 is
GCF of Numerators i.e. for 3327,4970 is 1
LCM of denominators i.e. for 726,2092 is 759396.
Thus, GCF of Fractions is 1/759396.Finally, GCF of Fractions for 3327/726, 4970/2092 is 1/759396.