GCF of 7136/256, 3257/6834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7136/256, 3257/6834 i.e 1/874752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7136/256, 3257/6834.
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 7136/256,3257/6834?
Given fractions are 7136/256,3257/6834
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 7136/256,3257/6834, numerators are 7136,3257
Denominators are 256,6834
The GCF of 7136,3257 is 1 .
LCM of 256,6834 is 874752.
The greatest common factor of 7136/256,3257/6834 = [GCF of 7136,3257]/[LCM of 256,6834]= 1/874752
Therefore, the GCF of 7136/256,3257/6834 is 1/874752.
To find the highest common factor of 7136,3257, we have to find the factors of both numbers and list the highest common factor.
The factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136
The factors of 3257 are 1, 3257
The HCF of 7136,3257 is 1.
Lets's calculate GCF of 7136,3257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7136,3257 By Matching Biggest Common Factor Method
Now, list down the factors of 7136
:1,2,4,8,16,32,223,446,892,1784,3568,7136
Now, list down the factors of 3257
:1,3257
Greatest Common Factor
We found the factors 7136,3257 . The biggest common factor number is the GCF number.
So the greatest common factor 7136,3257 is 1.
Lets's calculate LCM of 256,6834
| 2 | 256, 6834 |
| 128, 3417 |
∴ So the LCM of the given numbers is 2 x 128 x 3417 = 874752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/874752
Therefore, the GCF of Fractions 7136/256,3257/6834 is 1/874752
Least Common Multiple of 256,6834 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 256,6834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,6834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,6834) x common factors =2 x 1 = 2
LCM(256,6834) = ( 256 × 6834 ) / 2
LCM(256,6834) = 1749504 / 2
LCM(256,6834) = 874752
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FAQs on GCF of Fractions of 7136/256, 3257/6834
1. What is the HCF of 7136,3257?
The HCF of 7136,3257 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 7136/256, 3257/6834?
Answer: GCF of Numerators as per given numbers 7136/256, 3257/6834 is
GCF of Numerators i.e. for 7136,3257 is 1
LCM of denominators i.e. for 256,6834 is 874752.
Thus, GCF of Fractions is 1/874752.Finally, GCF of Fractions for 7136/256, 3257/6834 is 1/874752.