GCF of 3695/416, 1536/4610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3695/416, 1536/4610 i.e 1/958880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3695/416, 1536/4610.
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 3695/416,1536/4610?
Given fractions are 3695/416,1536/4610
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 3695/416,1536/4610, numerators are 3695,1536
Denominators are 416,4610
The GCF of 3695,1536 is 1 .
LCM of 416,4610 is 958880.
The greatest common factor of 3695/416,1536/4610 = [GCF of 3695,1536]/[LCM of 416,4610]= 1/958880
Therefore, the GCF of 3695/416,1536/4610 is 1/958880.
To find the highest common factor of 3695,1536, we have to find the factors of both numbers and list the highest common factor.
The factors of 3695 are 1, 5, 739, 3695
The factors of 1536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1536
The HCF of 3695,1536 is 1.
Lets's calculate GCF of 3695,1536
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3695,1536 By Matching Biggest Common Factor Method
Now, list down the factors of 3695
:1,5,739,3695
Now, list down the factors of 1536
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536
Greatest Common Factor
We found the factors 3695,1536 . The biggest common factor number is the GCF number.
So the greatest common factor 3695,1536 is 1.
Lets's calculate LCM of 416,4610
| 2 | 416, 4610 |
| 208, 2305 |
∴ So the LCM of the given numbers is 2 x 208 x 2305 = 958880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/958880
Therefore, the GCF of Fractions 3695/416,1536/4610 is 1/958880
Least Common Multiple of 416,4610 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 416,4610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,4610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,4610) x common factors =2 x 1 = 2
LCM(416,4610) = ( 416 × 4610 ) / 2
LCM(416,4610) = 1917760 / 2
LCM(416,4610) = 958880
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FAQs on GCF of Fractions of 3695/416, 1536/4610
1. What is the HCF of 3695,1536?
The HCF of 3695,1536 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 3695/416, 1536/4610?
Answer: GCF of Numerators as per given numbers 3695/416, 1536/4610 is
GCF of Numerators i.e. for 3695,1536 is 1
LCM of denominators i.e. for 416,4610 is 958880.
Thus, GCF of Fractions is 1/958880.Finally, GCF of Fractions for 3695/416, 1536/4610 is 1/958880.