GCF of 6296/952, 8430/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6296/952, 8430/746 i.e 2/355096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6296/952, 8430/746.
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 6296/952,8430/746?
Given fractions are 6296/952,8430/746
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 6296/952,8430/746, numerators are 6296,8430
Denominators are 952,746
The GCF of 6296,8430 is 2 .
LCM of 952,746 is 355096.
The greatest common factor of 6296/952,8430/746 = [GCF of 6296,8430]/[LCM of 952,746]= 2/355096
Therefore, the GCF of 6296/952,8430/746 is 2/355096.
To find the highest common factor of 6296,8430, we have to find the factors of both numbers and list the highest common factor.
The factors of 6296 are 1, 2, 4, 8, 787, 1574, 3148, 6296
The factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430
The HCF of 6296,8430 is 2.
Lets's calculate GCF of 6296,8430
| 2 | 6296, 8430 |
| 3148, 4215 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6296,8430 By Matching Biggest Common Factor Method
Now, list down the factors of 6296
:1,2,4,8,787,1574,3148,6296
Now, list down the factors of 8430
:1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430
Greatest Common Factor
We found the factors 6296,8430 . The biggest common factor number is the GCF number.
So the greatest common factor 6296,8430 is 2.
Lets's calculate LCM of 952,746
| 2 | 952, 746 |
| 476, 373 |
∴ So the LCM of the given numbers is 2 x 476 x 373 = 355096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/355096
Therefore, the GCF of Fractions 6296/952,8430/746 is 2/355096
Least Common Multiple of 952,746 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 952,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(952,746) x common factors =2 x 1 = 2
LCM(952,746) = ( 952 × 746 ) / 2
LCM(952,746) = 710192 / 2
LCM(952,746) = 355096
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FAQs on GCF of Fractions of 6296/952, 8430/746
1. What is the HCF of 6296,8430?
The HCF of 6296,8430 is 2
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 6296/952, 8430/746?
Answer: GCF of Numerators as per given numbers 6296/952, 8430/746 is
GCF of Numerators i.e. for 6296,8430 is 2
LCM of denominators i.e. for 952,746 is 355096.
Thus, GCF of Fractions is 2/355096.Finally, GCF of Fractions for 6296/952, 8430/746 is 2/355096.