GCF of 2134/156, 7386/696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2134/156, 7386/696 i.e 2/9048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2134/156, 7386/696.
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 2134/156,7386/696?
Given fractions are 2134/156,7386/696
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 2134/156,7386/696, numerators are 2134,7386
Denominators are 156,696
The GCF of 2134,7386 is 2 .
LCM of 156,696 is 9048.
The greatest common factor of 2134/156,7386/696 = [GCF of 2134,7386]/[LCM of 156,696]= 2/9048
Therefore, the GCF of 2134/156,7386/696 is 2/9048.
To find the highest common factor of 2134,7386, we have to find the factors of both numbers and list the highest common factor.
The factors of 2134 are 1, 2, 11, 22, 97, 194, 1067, 2134
The factors of 7386 are 1, 2, 3, 6, 1231, 2462, 3693, 7386
The HCF of 2134,7386 is 2.
Lets's calculate GCF of 2134,7386
| 2 | 2134, 7386 |
| 1067, 3693 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2134,7386 By Matching Biggest Common Factor Method
Now, list down the factors of 2134
:1,2,11,22,97,194,1067,2134
Now, list down the factors of 7386
:1,2,3,6,1231,2462,3693,7386
Greatest Common Factor
We found the factors 2134,7386 . The biggest common factor number is the GCF number.
So the greatest common factor 2134,7386 is 2.
Lets's calculate LCM of 156,696
| 2 | 156, 696 |
| 2 | 78, 348 |
| 3 | 39, 174 |
| 13, 58 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 58 = 9048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9048
Therefore, the GCF of Fractions 2134/156,7386/696 is 2/9048
Least Common Multiple of 156,696 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 156,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,696) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(156,696) x common factors =12 x 1 = 12
LCM(156,696) = ( 156 × 696 ) / 12
LCM(156,696) = 108576 / 12
LCM(156,696) = 9048
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FAQs on GCF of Fractions of 2134/156, 7386/696
1. What is the HCF of 2134,7386?
The HCF of 2134,7386 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 2134/156, 7386/696?
Answer: GCF of Numerators as per given numbers 2134/156, 7386/696 is
GCF of Numerators i.e. for 2134,7386 is 2
LCM of denominators i.e. for 156,696 is 9048.
Thus, GCF of Fractions is 2/9048.Finally, GCF of Fractions for 2134/156, 7386/696 is 2/9048.