GCF of 7096/336, 7129/5649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7096/336, 7129/5649 i.e 1/90384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7096/336, 7129/5649.
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 7096/336,7129/5649?
Given fractions are 7096/336,7129/5649
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 7096/336,7129/5649, numerators are 7096,7129
Denominators are 336,5649
The GCF of 7096,7129 is 1 .
LCM of 336,5649 is 90384.
The greatest common factor of 7096/336,7129/5649 = [GCF of 7096,7129]/[LCM of 336,5649]= 1/90384
Therefore, the GCF of 7096/336,7129/5649 is 1/90384.
To find the highest common factor of 7096,7129, we have to find the factors of both numbers and list the highest common factor.
The factors of 7096 are 1, 2, 4, 8, 887, 1774, 3548, 7096
The factors of 7129 are 1, 7129
The HCF of 7096,7129 is 1.
Lets's calculate GCF of 7096,7129
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7096,7129 By Matching Biggest Common Factor Method
Now, list down the factors of 7096
:1,2,4,8,887,1774,3548,7096
Now, list down the factors of 7129
:1,7129
Greatest Common Factor
We found the factors 7096,7129 . The biggest common factor number is the GCF number.
So the greatest common factor 7096,7129 is 1.
Lets's calculate LCM of 336,5649
| 3 | 336, 5649 |
| 7 | 112, 1883 |
| 16, 269 |
∴ So the LCM of the given numbers is 3 x 7 x 16 x 269 = 90384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90384
Therefore, the GCF of Fractions 7096/336,7129/5649 is 1/90384
Least Common Multiple of 336,5649 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 336,5649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,5649) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(336,5649) x common factors =21 x 1 = 21
LCM(336,5649) = ( 336 × 5649 ) / 21
LCM(336,5649) = 1898064 / 21
LCM(336,5649) = 90384
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FAQs on GCF of Fractions of 7096/336, 7129/5649
1. What is the HCF of 7096,7129?
The HCF of 7096,7129 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 7096/336, 7129/5649?
Answer: GCF of Numerators as per given numbers 7096/336, 7129/5649 is
GCF of Numerators i.e. for 7096,7129 is 1
LCM of denominators i.e. for 336,5649 is 90384.
Thus, GCF of Fractions is 1/90384.Finally, GCF of Fractions for 7096/336, 7129/5649 is 1/90384.