GCF of 2702/544, 7156/9250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2702/544, 7156/9250 i.e 2/2516000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2702/544, 7156/9250.
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 2702/544,7156/9250?
Given fractions are 2702/544,7156/9250
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 2702/544,7156/9250, numerators are 2702,7156
Denominators are 544,9250
The GCF of 2702,7156 is 2 .
LCM of 544,9250 is 2516000.
The greatest common factor of 2702/544,7156/9250 = [GCF of 2702,7156]/[LCM of 544,9250]= 2/2516000
Therefore, the GCF of 2702/544,7156/9250 is 2/2516000.
To find the highest common factor of 2702,7156, we have to find the factors of both numbers and list the highest common factor.
The factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702
The factors of 7156 are 1, 2, 4, 1789, 3578, 7156
The HCF of 2702,7156 is 2.
Lets's calculate GCF of 2702,7156
| 2 | 2702, 7156 |
| 1351, 3578 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2702,7156 By Matching Biggest Common Factor Method
Now, list down the factors of 2702
:1,2,7,14,193,386,1351,2702
Now, list down the factors of 7156
:1,2,4,1789,3578,7156
Greatest Common Factor
We found the factors 2702,7156 . The biggest common factor number is the GCF number.
So the greatest common factor 2702,7156 is 2.
Lets's calculate LCM of 544,9250
| 2 | 544, 9250 |
| 272, 4625 |
∴ So the LCM of the given numbers is 2 x 272 x 4625 = 2516000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2516000
Therefore, the GCF of Fractions 2702/544,7156/9250 is 2/2516000
Least Common Multiple of 544,9250 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 544,9250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,9250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(544,9250) x common factors =2 x 1 = 2
LCM(544,9250) = ( 544 × 9250 ) / 2
LCM(544,9250) = 5032000 / 2
LCM(544,9250) = 2516000
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FAQs on GCF of Fractions of 2702/544, 7156/9250
1. What is the HCF of 2702,7156?
The HCF of 2702,7156 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 2702/544, 7156/9250?
Answer: GCF of Numerators as per given numbers 2702/544, 7156/9250 is
GCF of Numerators i.e. for 2702,7156 is 2
LCM of denominators i.e. for 544,9250 is 2516000.
Thus, GCF of Fractions is 2/2516000.Finally, GCF of Fractions for 2702/544, 7156/9250 is 2/2516000.