GCF of 2798/506, 7156/6385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2798/506, 7156/6385 i.e 2/3230810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2798/506, 7156/6385.
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 2798/506,7156/6385?
Given fractions are 2798/506,7156/6385
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 2798/506,7156/6385, numerators are 2798,7156
Denominators are 506,6385
The GCF of 2798,7156 is 2 .
LCM of 506,6385 is 3230810.
The greatest common factor of 2798/506,7156/6385 = [GCF of 2798,7156]/[LCM of 506,6385]= 2/3230810
Therefore, the GCF of 2798/506,7156/6385 is 2/3230810.
To find the highest common factor of 2798,7156, we have to find the factors of both numbers and list the highest common factor.
The factors of 2798 are 1, 2, 1399, 2798
The factors of 7156 are 1, 2, 4, 1789, 3578, 7156
The HCF of 2798,7156 is 2.
Lets's calculate GCF of 2798,7156
| 2 | 2798, 7156 |
| 1399, 3578 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2798,7156 By Matching Biggest Common Factor Method
Now, list down the factors of 2798
:1,2,1399,2798
Now, list down the factors of 7156
:1,2,4,1789,3578,7156
Greatest Common Factor
We found the factors 2798,7156 . The biggest common factor number is the GCF number.
So the greatest common factor 2798,7156 is 2.
Lets's calculate LCM of 506,6385
Given numbers has no common factors except 1. So, there LCM is their product i.e 3230810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3230810
Therefore, the GCF of Fractions 2798/506,7156/6385 is 2/3230810
Least Common Multiple of 506,6385 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 506,6385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,6385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,6385) x common factors =1 x 1 = 1
LCM(506,6385) = ( 506 × 6385 ) / 1
LCM(506,6385) = 3230810 / 1
LCM(506,6385) = 3230810
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FAQs on GCF of Fractions of 2798/506, 7156/6385
1. What is the HCF of 2798,7156?
The HCF of 2798,7156 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 2798/506, 7156/6385?
Answer: GCF of Numerators as per given numbers 2798/506, 7156/6385 is
GCF of Numerators i.e. for 2798,7156 is 2
LCM of denominators i.e. for 506,6385 is 3230810.
Thus, GCF of Fractions is 2/3230810.Finally, GCF of Fractions for 2798/506, 7156/6385 is 2/3230810.