GCF of 5566/158, 1676/330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5566/158, 1676/330 i.e 2/26070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5566/158, 1676/330.
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 5566/158,1676/330?
Given fractions are 5566/158,1676/330
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 5566/158,1676/330, numerators are 5566,1676
Denominators are 158,330
The GCF of 5566,1676 is 2 .
LCM of 158,330 is 26070.
The greatest common factor of 5566/158,1676/330 = [GCF of 5566,1676]/[LCM of 158,330]= 2/26070
Therefore, the GCF of 5566/158,1676/330 is 2/26070.
To find the highest common factor of 5566,1676, we have to find the factors of both numbers and list the highest common factor.
The factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566
The factors of 1676 are 1, 2, 4, 419, 838, 1676
The HCF of 5566,1676 is 2.
Lets's calculate GCF of 5566,1676
| 2 | 5566, 1676 |
| 2783, 838 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5566,1676 By Matching Biggest Common Factor Method
Now, list down the factors of 5566
:1,2,11,22,23,46,121,242,253,506,2783,5566
Now, list down the factors of 1676
:1,2,4,419,838,1676
Greatest Common Factor
We found the factors 5566,1676 . The biggest common factor number is the GCF number.
So the greatest common factor 5566,1676 is 2.
Lets's calculate LCM of 158,330
| 2 | 158, 330 |
| 79, 165 |
∴ So the LCM of the given numbers is 2 x 79 x 165 = 26070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26070
Therefore, the GCF of Fractions 5566/158,1676/330 is 2/26070
Least Common Multiple of 158,330 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 158,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,330) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,330) x common factors =2 x 1 = 2
LCM(158,330) = ( 158 × 330 ) / 2
LCM(158,330) = 52140 / 2
LCM(158,330) = 26070
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FAQs on GCF of Fractions of 5566/158, 1676/330
1. What is the HCF of 5566,1676?
The HCF of 5566,1676 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 5566/158, 1676/330?
Answer: GCF of Numerators as per given numbers 5566/158, 1676/330 is
GCF of Numerators i.e. for 5566,1676 is 2
LCM of denominators i.e. for 158,330 is 26070.
Thus, GCF of Fractions is 2/26070.Finally, GCF of Fractions for 5566/158, 1676/330 is 2/26070.