GCF of 2695/743, 1550/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2695/743, 1550/412 i.e 5/306116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2695/743, 1550/412.
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 2695/743,1550/412?
Given fractions are 2695/743,1550/412
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 2695/743,1550/412, numerators are 2695,1550
Denominators are 743,412
The GCF of 2695,1550 is 5 .
LCM of 743,412 is 306116.
The greatest common factor of 2695/743,1550/412 = [GCF of 2695,1550]/[LCM of 743,412]= 5/306116
Therefore, the GCF of 2695/743,1550/412 is 5/306116.
To find the highest common factor of 2695,1550, we have to find the factors of both numbers and list the highest common factor.
The factors of 2695 are 1, 5, 7, 11, 35, 49, 55, 77, 245, 385, 539, 2695
The factors of 1550 are 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550
The HCF of 2695,1550 is 5.
Lets's calculate GCF of 2695,1550
| 5 | 2695, 1550 |
| 539, 310 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2695,1550 By Matching Biggest Common Factor Method
Now, list down the factors of 2695
:1,5,7,11,35,49,55,77,245,385,539,2695
Now, list down the factors of 1550
:1,2,5,10,25,31,50,62,155,310,775,1550
Greatest Common Factor
We found the factors 2695,1550 . The biggest common factor number is the GCF number.
So the greatest common factor 2695,1550 is 5.
Lets's calculate LCM of 743,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 306116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/306116
Therefore, the GCF of Fractions 2695/743,1550/412 is 5/306116
Least Common Multiple of 743,412 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 743,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,412) x common factors =1 x 1 = 1
LCM(743,412) = ( 743 × 412 ) / 1
LCM(743,412) = 306116 / 1
LCM(743,412) = 306116
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2695/743, 1550/412
1. What is the HCF of 2695,1550?
The HCF of 2695,1550 is 5
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 2695/743, 1550/412?
Answer: GCF of Numerators as per given numbers 2695/743, 1550/412 is
GCF of Numerators i.e. for 2695,1550 is 5
LCM of denominators i.e. for 743,412 is 306116.
Thus, GCF of Fractions is 5/306116.Finally, GCF of Fractions for 2695/743, 1550/412 is 5/306116.