GCF of 2290/676, 1580/6730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2290/676, 1580/6730 i.e 10/2274740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2290/676, 1580/6730.
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 2290/676,1580/6730?
Given fractions are 2290/676,1580/6730
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 2290/676,1580/6730, numerators are 2290,1580
Denominators are 676,6730
The GCF of 2290,1580 is 10 .
LCM of 676,6730 is 2274740.
The greatest common factor of 2290/676,1580/6730 = [GCF of 2290,1580]/[LCM of 676,6730]= 10/2274740
Therefore, the GCF of 2290/676,1580/6730 is 10/2274740.
To find the highest common factor of 2290,1580, we have to find the factors of both numbers and list the highest common factor.
The factors of 2290 are 1, 2, 5, 10, 229, 458, 1145, 2290
The factors of 1580 are 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580
The HCF of 2290,1580 is 10.
Lets's calculate GCF of 2290,1580
| 2 | 2290, 1580 |
| 5 | 1145, 790 |
| 229, 158 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2290,1580 By Matching Biggest Common Factor Method
Now, list down the factors of 2290
:1,2,5,10,229,458,1145,2290
Now, list down the factors of 1580
:1,2,4,5,10,20,79,158,316,395,790,1580
Greatest Common Factor
We found the factors 2290,1580 . The biggest common factor number is the GCF number.
So the greatest common factor 2290,1580 is 10.
Lets's calculate LCM of 676,6730
| 2 | 676, 6730 |
| 338, 3365 |
∴ So the LCM of the given numbers is 2 x 338 x 3365 = 2274740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2274740
Therefore, the GCF of Fractions 2290/676,1580/6730 is 10/2274740
Least Common Multiple of 676,6730 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 676,6730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,6730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(676,6730) x common factors =2 x 1 = 2
LCM(676,6730) = ( 676 × 6730 ) / 2
LCM(676,6730) = 4549480 / 2
LCM(676,6730) = 2274740
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FAQs on GCF of Fractions of 2290/676, 1580/6730
1. What is the HCF of 2290,1580?
The HCF of 2290,1580 is 10
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 2290/676, 1580/6730?
Answer: GCF of Numerators as per given numbers 2290/676, 1580/6730 is
GCF of Numerators i.e. for 2290,1580 is 10
LCM of denominators i.e. for 676,6730 is 2274740.
Thus, GCF of Fractions is 10/2274740.Finally, GCF of Fractions for 2290/676, 1580/6730 is 10/2274740.