GCF of 6598/886, 9614/2698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6598/886, 9614/2698 i.e 2/1195214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6598/886, 9614/2698.
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 6598/886,9614/2698?
Given fractions are 6598/886,9614/2698
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 6598/886,9614/2698, numerators are 6598,9614
Denominators are 886,2698
The GCF of 6598,9614 is 2 .
LCM of 886,2698 is 1195214.
The greatest common factor of 6598/886,9614/2698 = [GCF of 6598,9614]/[LCM of 886,2698]= 2/1195214
Therefore, the GCF of 6598/886,9614/2698 is 2/1195214.
To find the highest common factor of 6598,9614, we have to find the factors of both numbers and list the highest common factor.
The factors of 6598 are 1, 2, 3299, 6598
The factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614
The HCF of 6598,9614 is 2.
Lets's calculate GCF of 6598,9614
| 2 | 6598, 9614 |
| 3299, 4807 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6598,9614 By Matching Biggest Common Factor Method
Now, list down the factors of 6598
:1,2,3299,6598
Now, list down the factors of 9614
:1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614
Greatest Common Factor
We found the factors 6598,9614 . The biggest common factor number is the GCF number.
So the greatest common factor 6598,9614 is 2.
Lets's calculate LCM of 886,2698
| 2 | 886, 2698 |
| 443, 1349 |
∴ So the LCM of the given numbers is 2 x 443 x 1349 = 1195214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1195214
Therefore, the GCF of Fractions 6598/886,9614/2698 is 2/1195214
Least Common Multiple of 886,2698 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 886,2698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,2698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,2698) x common factors =2 x 1 = 2
LCM(886,2698) = ( 886 × 2698 ) / 2
LCM(886,2698) = 2390428 / 2
LCM(886,2698) = 1195214
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FAQs on GCF of Fractions of 6598/886, 9614/2698
1. What is the HCF of 6598,9614?
The HCF of 6598,9614 is 2
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 6598/886, 9614/2698?
Answer: GCF of Numerators as per given numbers 6598/886, 9614/2698 is
GCF of Numerators i.e. for 6598,9614 is 2
LCM of denominators i.e. for 886,2698 is 1195214.
Thus, GCF of Fractions is 2/1195214.Finally, GCF of Fractions for 6598/886, 9614/2698 is 2/1195214.