GCF of 5698/636, 2960/3408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5698/636, 2960/3408 i.e 74/180624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5698/636, 2960/3408.
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 5698/636,2960/3408?
Given fractions are 5698/636,2960/3408
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 5698/636,2960/3408, numerators are 5698,2960
Denominators are 636,3408
The GCF of 5698,2960 is 74 .
LCM of 636,3408 is 180624.
The greatest common factor of 5698/636,2960/3408 = [GCF of 5698,2960]/[LCM of 636,3408]= 74/180624
Therefore, the GCF of 5698/636,2960/3408 is 74/180624.
To find the highest common factor of 5698,2960, we have to find the factors of both numbers and list the highest common factor.
The factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698
The factors of 2960 are 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960
The HCF of 5698,2960 is 74.
Lets's calculate GCF of 5698,2960
| 2 | 5698, 2960 |
| 37 | 2849, 1480 |
| 77, 40 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Greatest Common Factor of 5698,2960 By Matching Biggest Common Factor Method
Now, list down the factors of 5698
:1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698
Now, list down the factors of 2960
:1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960
Greatest Common Factor
We found the factors 5698,2960 . The biggest common factor number is the GCF number.
So the greatest common factor 5698,2960 is 74.
Lets's calculate LCM of 636,3408
| 2 | 636, 3408 |
| 2 | 318, 1704 |
| 3 | 159, 852 |
| 53, 284 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 284 = 180624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/180624
Therefore, the GCF of Fractions 5698/636,2960/3408 is 74/180624
Least Common Multiple of 636,3408 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 636,3408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,3408) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(636,3408) x common factors =12 x 1 = 12
LCM(636,3408) = ( 636 × 3408 ) / 12
LCM(636,3408) = 2167488 / 12
LCM(636,3408) = 180624
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5698/636, 2960/3408
1. What is the HCF of 5698,2960?
The HCF of 5698,2960 is 74
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 5698/636, 2960/3408?
Answer: GCF of Numerators as per given numbers 5698/636, 2960/3408 is
GCF of Numerators i.e. for 5698,2960 is 74
LCM of denominators i.e. for 636,3408 is 180624.
Thus, GCF of Fractions is 74/180624.Finally, GCF of Fractions for 5698/636, 2960/3408 is 74/180624.