GCF of 5698/930, 5456/4678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5698/930, 5456/4678 i.e 22/2175270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5698/930, 5456/4678.
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 5698/930,5456/4678?
Given fractions are 5698/930,5456/4678
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 5698/930,5456/4678, numerators are 5698,5456
Denominators are 930,4678
The GCF of 5698,5456 is 22 .
LCM of 930,4678 is 2175270.
The greatest common factor of 5698/930,5456/4678 = [GCF of 5698,5456]/[LCM of 930,4678]= 22/2175270
Therefore, the GCF of 5698/930,5456/4678 is 22/2175270.
To find the highest common factor of 5698,5456, 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 5456 are 1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456
The HCF of 5698,5456 is 22.
Lets's calculate GCF of 5698,5456
| 2 | 5698, 5456 |
| 11 | 2849, 2728 |
| 259, 248 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 5698,5456 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 5456
:1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456
Greatest Common Factor
We found the factors 5698,5456 . The biggest common factor number is the GCF number.
So the greatest common factor 5698,5456 is 22.
Lets's calculate LCM of 930,4678
| 2 | 930, 4678 |
| 465, 2339 |
∴ So the LCM of the given numbers is 2 x 465 x 2339 = 2175270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/2175270
Therefore, the GCF of Fractions 5698/930,5456/4678 is 22/2175270
Least Common Multiple of 930,4678 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 930,4678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,4678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(930,4678) x common factors =2 x 1 = 2
LCM(930,4678) = ( 930 × 4678 ) / 2
LCM(930,4678) = 4350540 / 2
LCM(930,4678) = 2175270
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FAQs on GCF of Fractions of 5698/930, 5456/4678
1. What is the HCF of 5698,5456?
The HCF of 5698,5456 is 22
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 5698/930, 5456/4678?
Answer: GCF of Numerators as per given numbers 5698/930, 5456/4678 is
GCF of Numerators i.e. for 5698,5456 is 22
LCM of denominators i.e. for 930,4678 is 2175270.
Thus, GCF of Fractions is 22/2175270.Finally, GCF of Fractions for 5698/930, 5456/4678 is 22/2175270.