GCF of 7256/970, 9927/2822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7256/970, 9927/2822 i.e 1/1368670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7256/970, 9927/2822.
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 7256/970,9927/2822?
Given fractions are 7256/970,9927/2822
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 7256/970,9927/2822, numerators are 7256,9927
Denominators are 970,2822
The GCF of 7256,9927 is 1 .
LCM of 970,2822 is 1368670.
The greatest common factor of 7256/970,9927/2822 = [GCF of 7256,9927]/[LCM of 970,2822]= 1/1368670
Therefore, the GCF of 7256/970,9927/2822 is 1/1368670.
To find the highest common factor of 7256,9927, we have to find the factors of both numbers and list the highest common factor.
The factors of 7256 are 1, 2, 4, 8, 907, 1814, 3628, 7256
The factors of 9927 are 1, 3, 9, 1103, 3309, 9927
The HCF of 7256,9927 is 1.
Lets's calculate GCF of 7256,9927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7256,9927 By Matching Biggest Common Factor Method
Now, list down the factors of 7256
:1,2,4,8,907,1814,3628,7256
Now, list down the factors of 9927
:1,3,9,1103,3309,9927
Greatest Common Factor
We found the factors 7256,9927 . The biggest common factor number is the GCF number.
So the greatest common factor 7256,9927 is 1.
Lets's calculate LCM of 970,2822
| 2 | 970, 2822 |
| 485, 1411 |
∴ So the LCM of the given numbers is 2 x 485 x 1411 = 1368670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1368670
Therefore, the GCF of Fractions 7256/970,9927/2822 is 1/1368670
Least Common Multiple of 970,2822 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 970,2822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,2822) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,2822) x common factors =2 x 1 = 2
LCM(970,2822) = ( 970 × 2822 ) / 2
LCM(970,2822) = 2737340 / 2
LCM(970,2822) = 1368670
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FAQs on GCF of Fractions of 7256/970, 9927/2822
1. What is the HCF of 7256,9927?
The HCF of 7256,9927 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 7256/970, 9927/2822?
Answer: GCF of Numerators as per given numbers 7256/970, 9927/2822 is
GCF of Numerators i.e. for 7256,9927 is 1
LCM of denominators i.e. for 970,2822 is 1368670.
Thus, GCF of Fractions is 1/1368670.Finally, GCF of Fractions for 7256/970, 9927/2822 is 1/1368670.