GCF of 2769/260, 9988/6590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2769/260, 9988/6590 i.e 1/171340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2769/260, 9988/6590.
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 2769/260,9988/6590?
Given fractions are 2769/260,9988/6590
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 2769/260,9988/6590, numerators are 2769,9988
Denominators are 260,6590
The GCF of 2769,9988 is 1 .
LCM of 260,6590 is 171340.
The greatest common factor of 2769/260,9988/6590 = [GCF of 2769,9988]/[LCM of 260,6590]= 1/171340
Therefore, the GCF of 2769/260,9988/6590 is 1/171340.
To find the highest common factor of 2769,9988, we have to find the factors of both numbers and list the highest common factor.
The factors of 2769 are 1, 3, 13, 39, 71, 213, 923, 2769
The factors of 9988 are 1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988
The HCF of 2769,9988 is 1.
Lets's calculate GCF of 2769,9988
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2769,9988 By Matching Biggest Common Factor Method
Now, list down the factors of 2769
:1,3,13,39,71,213,923,2769
Now, list down the factors of 9988
:1,2,4,11,22,44,227,454,908,2497,4994,9988
Greatest Common Factor
We found the factors 2769,9988 . The biggest common factor number is the GCF number.
So the greatest common factor 2769,9988 is 1.
Lets's calculate LCM of 260,6590
| 2 | 260, 6590 |
| 5 | 130, 3295 |
| 26, 659 |
∴ So the LCM of the given numbers is 2 x 5 x 26 x 659 = 171340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171340
Therefore, the GCF of Fractions 2769/260,9988/6590 is 1/171340
Least Common Multiple of 260,6590 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 260,6590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,6590) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(260,6590) x common factors =10 x 1 = 10
LCM(260,6590) = ( 260 × 6590 ) / 10
LCM(260,6590) = 1713400 / 10
LCM(260,6590) = 171340
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FAQs on GCF of Fractions of 2769/260, 9988/6590
1. What is the HCF of 2769,9988?
The HCF of 2769,9988 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 2769/260, 9988/6590?
Answer: GCF of Numerators as per given numbers 2769/260, 9988/6590 is
GCF of Numerators i.e. for 2769,9988 is 1
LCM of denominators i.e. for 260,6590 is 171340.
Thus, GCF of Fractions is 1/171340.Finally, GCF of Fractions for 2769/260, 9988/6590 is 1/171340.