Use our free GCF of Fractions Calculator tool to compute the GCF of 2995/700, 3498/2555 i.e 1/51100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2995/700, 3498/2555.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2995/700,3498/2555
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 2995/700,3498/2555, numerators are 2995,3498
Denominators are 700,2555
The GCF of 2995,3498 is 1 .
LCM of 700,2555 is 51100.
The greatest common factor of 2995/700,3498/2555 = [GCF of 2995,3498]/[LCM of 700,2555]= 1/51100
Therefore, the GCF of 2995/700,3498/2555 is 1/51100.
To find the highest common factor of 2995,3498, we have to find the factors of both numbers and list the highest common factor.
The factors of 2995 are 1, 5, 599, 2995
The factors of 3498 are 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498
The HCF of 2995,3498 is 1.
Lets's calculate GCF of 2995,3498
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2995
:1,5,599,2995
Now, list down the factors of 3498
:1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498
Greatest Common Factor
We found the factors 2995,3498 . The biggest common factor number is the GCF number.
So the greatest common factor 2995,3498 is 1.
Lets's calculate LCM of 700,2555
5 | 700, 2555 |
7 | 140, 511 |
20, 73 |
∴ So the LCM of the given numbers is 5 x 7 x 20 x 73 = 51100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51100
Therefore, the GCF of Fractions 2995/700,3498/2555 is 1/51100
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 700,2555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,2555) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(700,2555) x common factors =35 x 1 = 35
LCM(700,2555) = ( 700 × 2555 ) / 35
LCM(700,2555) = 1788500 / 35
LCM(700,2555) = 51100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2995,3498?
The HCF of 2995,3498 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 2995/700, 3498/2555?
Answer: GCF of Numerators as per given numbers 2995/700, 3498/2555 is
GCF of Numerators i.e. for 2995,3498 is 1
LCM of denominators i.e. for 700,2555 is 51100.
Thus, GCF of Fractions is 1/51100.Finally, GCF of Fractions for 2995/700, 3498/2555 is 1/51100.