GCF of 7156/656, 8558/4206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7156/656, 8558/4206 i.e 2/1379568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7156/656, 8558/4206.
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 7156/656,8558/4206?
Given fractions are 7156/656,8558/4206
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 7156/656,8558/4206, numerators are 7156,8558
Denominators are 656,4206
The GCF of 7156,8558 is 2 .
LCM of 656,4206 is 1379568.
The greatest common factor of 7156/656,8558/4206 = [GCF of 7156,8558]/[LCM of 656,4206]= 2/1379568
Therefore, the GCF of 7156/656,8558/4206 is 2/1379568.
To find the highest common factor of 7156,8558, we have to find the factors of both numbers and list the highest common factor.
The factors of 7156 are 1, 2, 4, 1789, 3578, 7156
The factors of 8558 are 1, 2, 11, 22, 389, 778, 4279, 8558
The HCF of 7156,8558 is 2.
Lets's calculate GCF of 7156,8558
| 2 | 7156, 8558 |
| 3578, 4279 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7156,8558 By Matching Biggest Common Factor Method
Now, list down the factors of 7156
:1,2,4,1789,3578,7156
Now, list down the factors of 8558
:1,2,11,22,389,778,4279,8558
Greatest Common Factor
We found the factors 7156,8558 . The biggest common factor number is the GCF number.
So the greatest common factor 7156,8558 is 2.
Lets's calculate LCM of 656,4206
| 2 | 656, 4206 |
| 328, 2103 |
∴ So the LCM of the given numbers is 2 x 328 x 2103 = 1379568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1379568
Therefore, the GCF of Fractions 7156/656,8558/4206 is 2/1379568
Least Common Multiple of 656,4206 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 656,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,4206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(656,4206) x common factors =2 x 1 = 2
LCM(656,4206) = ( 656 × 4206 ) / 2
LCM(656,4206) = 2759136 / 2
LCM(656,4206) = 1379568
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FAQs on GCF of Fractions of 7156/656, 8558/4206
1. What is the HCF of 7156,8558?
The HCF of 7156,8558 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 7156/656, 8558/4206?
Answer: GCF of Numerators as per given numbers 7156/656, 8558/4206 is
GCF of Numerators i.e. for 7156,8558 is 2
LCM of denominators i.e. for 656,4206 is 1379568.
Thus, GCF of Fractions is 2/1379568.Finally, GCF of Fractions for 7156/656, 8558/4206 is 2/1379568.