GCF of 3536/548, 1595/856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3536/548, 1595/856 i.e 1/117272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3536/548, 1595/856.
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 3536/548,1595/856?
Given fractions are 3536/548,1595/856
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 3536/548,1595/856, numerators are 3536,1595
Denominators are 548,856
The GCF of 3536,1595 is 1 .
LCM of 548,856 is 117272.
The greatest common factor of 3536/548,1595/856 = [GCF of 3536,1595]/[LCM of 548,856]= 1/117272
Therefore, the GCF of 3536/548,1595/856 is 1/117272.
To find the highest common factor of 3536,1595, we have to find the factors of both numbers and list the highest common factor.
The factors of 3536 are 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536
The factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595
The HCF of 3536,1595 is 1.
Lets's calculate GCF of 3536,1595
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3536,1595 By Matching Biggest Common Factor Method
Now, list down the factors of 3536
:1,2,4,8,13,16,17,26,34,52,68,104,136,208,221,272,442,884,1768,3536
Now, list down the factors of 1595
:1,5,11,29,55,145,319,1595
Greatest Common Factor
We found the factors 3536,1595 . The biggest common factor number is the GCF number.
So the greatest common factor 3536,1595 is 1.
Lets's calculate LCM of 548,856
| 2 | 548, 856 |
| 2 | 274, 428 |
| 137, 214 |
∴ So the LCM of the given numbers is 2 x 2 x 137 x 214 = 117272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117272
Therefore, the GCF of Fractions 3536/548,1595/856 is 1/117272
Least Common Multiple of 548,856 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 548,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,856) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(548,856) x common factors =4 x 1 = 4
LCM(548,856) = ( 548 × 856 ) / 4
LCM(548,856) = 469088 / 4
LCM(548,856) = 117272
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3536/548, 1595/856
1. What is the HCF of 3536,1595?
The HCF of 3536,1595 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 3536/548, 1595/856?
Answer: GCF of Numerators as per given numbers 3536/548, 1595/856 is
GCF of Numerators i.e. for 3536,1595 is 1
LCM of denominators i.e. for 548,856 is 117272.
Thus, GCF of Fractions is 1/117272.Finally, GCF of Fractions for 3536/548, 1595/856 is 1/117272.