GCF of 5660/526, 2806/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5660/526, 2806/984 i.e 2/258792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5660/526, 2806/984.
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 5660/526,2806/984?
Given fractions are 5660/526,2806/984
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 5660/526,2806/984, numerators are 5660,2806
Denominators are 526,984
The GCF of 5660,2806 is 2 .
LCM of 526,984 is 258792.
The greatest common factor of 5660/526,2806/984 = [GCF of 5660,2806]/[LCM of 526,984]= 2/258792
Therefore, the GCF of 5660/526,2806/984 is 2/258792.
To find the highest common factor of 5660,2806, we have to find the factors of both numbers and list the highest common factor.
The factors of 5660 are 1, 2, 4, 5, 10, 20, 283, 566, 1132, 1415, 2830, 5660
The factors of 2806 are 1, 2, 23, 46, 61, 122, 1403, 2806
The HCF of 5660,2806 is 2.
Lets's calculate GCF of 5660,2806
| 2 | 5660, 2806 |
| 2830, 1403 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5660,2806 By Matching Biggest Common Factor Method
Now, list down the factors of 5660
:1,2,4,5,10,20,283,566,1132,1415,2830,5660
Now, list down the factors of 2806
:1,2,23,46,61,122,1403,2806
Greatest Common Factor
We found the factors 5660,2806 . The biggest common factor number is the GCF number.
So the greatest common factor 5660,2806 is 2.
Lets's calculate LCM of 526,984
| 2 | 526, 984 |
| 263, 492 |
∴ So the LCM of the given numbers is 2 x 263 x 492 = 258792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/258792
Therefore, the GCF of Fractions 5660/526,2806/984 is 2/258792
Least Common Multiple of 526,984 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 526,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,984) x common factors =2 x 1 = 2
LCM(526,984) = ( 526 × 984 ) / 2
LCM(526,984) = 517584 / 2
LCM(526,984) = 258792
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FAQs on GCF of Fractions of 5660/526, 2806/984
1. What is the HCF of 5660,2806?
The HCF of 5660,2806 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 5660/526, 2806/984?
Answer: GCF of Numerators as per given numbers 5660/526, 2806/984 is
GCF of Numerators i.e. for 5660,2806 is 2
LCM of denominators i.e. for 526,984 is 258792.
Thus, GCF of Fractions is 2/258792.Finally, GCF of Fractions for 5660/526, 2806/984 is 2/258792.