GCF of 3035/496, 7136/3670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3035/496, 7136/3670 i.e 1/910160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3035/496, 7136/3670.
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 3035/496,7136/3670?
Given fractions are 3035/496,7136/3670
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 3035/496,7136/3670, numerators are 3035,7136
Denominators are 496,3670
The GCF of 3035,7136 is 1 .
LCM of 496,3670 is 910160.
The greatest common factor of 3035/496,7136/3670 = [GCF of 3035,7136]/[LCM of 496,3670]= 1/910160
Therefore, the GCF of 3035/496,7136/3670 is 1/910160.
To find the highest common factor of 3035,7136, we have to find the factors of both numbers and list the highest common factor.
The factors of 3035 are 1, 5, 607, 3035
The factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136
The HCF of 3035,7136 is 1.
Lets's calculate GCF of 3035,7136
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3035,7136 By Matching Biggest Common Factor Method
Now, list down the factors of 3035
:1,5,607,3035
Now, list down the factors of 7136
:1,2,4,8,16,32,223,446,892,1784,3568,7136
Greatest Common Factor
We found the factors 3035,7136 . The biggest common factor number is the GCF number.
So the greatest common factor 3035,7136 is 1.
Lets's calculate LCM of 496,3670
| 2 | 496, 3670 |
| 248, 1835 |
∴ So the LCM of the given numbers is 2 x 248 x 1835 = 910160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/910160
Therefore, the GCF of Fractions 3035/496,7136/3670 is 1/910160
Least Common Multiple of 496,3670 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 496,3670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,3670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(496,3670) x common factors =2 x 1 = 2
LCM(496,3670) = ( 496 × 3670 ) / 2
LCM(496,3670) = 1820320 / 2
LCM(496,3670) = 910160
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FAQs on GCF of Fractions of 3035/496, 7136/3670
1. What is the HCF of 3035,7136?
The HCF of 3035,7136 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 3035/496, 7136/3670?
Answer: GCF of Numerators as per given numbers 3035/496, 7136/3670 is
GCF of Numerators i.e. for 3035,7136 is 1
LCM of denominators i.e. for 496,3670 is 910160.
Thus, GCF of Fractions is 1/910160.Finally, GCF of Fractions for 3035/496, 7136/3670 is 1/910160.