GCF of 7256/902, 6401/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7256/902, 6401/144 i.e 1/64944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7256/902, 6401/144.
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 7256/902,6401/144?
Given fractions are 7256/902,6401/144
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 7256/902,6401/144, numerators are 7256,6401
Denominators are 902,144
The GCF of 7256,6401 is 1 .
LCM of 902,144 is 64944.
The greatest common factor of 7256/902,6401/144 = [GCF of 7256,6401]/[LCM of 902,144]= 1/64944
Therefore, the GCF of 7256/902,6401/144 is 1/64944.
To find the highest common factor of 7256,6401, 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 6401 are 1, 37, 173, 6401
The HCF of 7256,6401 is 1.
Lets's calculate GCF of 7256,6401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7256,6401 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 6401
:1,37,173,6401
Greatest Common Factor
We found the factors 7256,6401 . The biggest common factor number is the GCF number.
So the greatest common factor 7256,6401 is 1.
Lets's calculate LCM of 902,144
| 2 | 902, 144 |
| 451, 72 |
∴ So the LCM of the given numbers is 2 x 451 x 72 = 64944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64944
Therefore, the GCF of Fractions 7256/902,6401/144 is 1/64944
Least Common Multiple of 902,144 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 902,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,144) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,144) x common factors =2 x 1 = 2
LCM(902,144) = ( 902 × 144 ) / 2
LCM(902,144) = 129888 / 2
LCM(902,144) = 64944
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FAQs on GCF of Fractions of 7256/902, 6401/144
1. What is the HCF of 7256,6401?
The HCF of 7256,6401 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 7256/902, 6401/144?
Answer: GCF of Numerators as per given numbers 7256/902, 6401/144 is
GCF of Numerators i.e. for 7256,6401 is 1
LCM of denominators i.e. for 902,144 is 64944.
Thus, GCF of Fractions is 1/64944.Finally, GCF of Fractions for 7256/902, 6401/144 is 1/64944.