GCF of 2598/242, 1908/685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2598/242, 1908/685 i.e 6/165770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2598/242, 1908/685.
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 2598/242,1908/685?
Given fractions are 2598/242,1908/685
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 2598/242,1908/685, numerators are 2598,1908
Denominators are 242,685
The GCF of 2598,1908 is 6 .
LCM of 242,685 is 165770.
The greatest common factor of 2598/242,1908/685 = [GCF of 2598,1908]/[LCM of 242,685]= 6/165770
Therefore, the GCF of 2598/242,1908/685 is 6/165770.
To find the highest common factor of 2598,1908, we have to find the factors of both numbers and list the highest common factor.
The factors of 2598 are 1, 2, 3, 6, 433, 866, 1299, 2598
The factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908
The HCF of 2598,1908 is 6.
Lets's calculate GCF of 2598,1908
| 2 | 2598, 1908 |
| 3 | 1299, 954 |
| 433, 318 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2598,1908 By Matching Biggest Common Factor Method
Now, list down the factors of 2598
:1,2,3,6,433,866,1299,2598
Now, list down the factors of 1908
:1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908
Greatest Common Factor
We found the factors 2598,1908 . The biggest common factor number is the GCF number.
So the greatest common factor 2598,1908 is 6.
Lets's calculate LCM of 242,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 165770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/165770
Therefore, the GCF of Fractions 2598/242,1908/685 is 6/165770
Least Common Multiple of 242,685 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 242,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,685) x common factors =1 x 1 = 1
LCM(242,685) = ( 242 × 685 ) / 1
LCM(242,685) = 165770 / 1
LCM(242,685) = 165770
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FAQs on GCF of Fractions of 2598/242, 1908/685
1. What is the HCF of 2598,1908?
The HCF of 2598,1908 is 6
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 2598/242, 1908/685?
Answer: GCF of Numerators as per given numbers 2598/242, 1908/685 is
GCF of Numerators i.e. for 2598,1908 is 6
LCM of denominators i.e. for 242,685 is 165770.
Thus, GCF of Fractions is 6/165770.Finally, GCF of Fractions for 2598/242, 1908/685 is 6/165770.