GCF of 5780/572, 1316/1682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5780/572, 1316/1682 i.e 4/481052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5780/572, 1316/1682.
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 5780/572,1316/1682?
Given fractions are 5780/572,1316/1682
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 5780/572,1316/1682, numerators are 5780,1316
Denominators are 572,1682
The GCF of 5780,1316 is 4 .
LCM of 572,1682 is 481052.
The greatest common factor of 5780/572,1316/1682 = [GCF of 5780,1316]/[LCM of 572,1682]= 4/481052
Therefore, the GCF of 5780/572,1316/1682 is 4/481052.
To find the highest common factor of 5780,1316, we have to find the factors of both numbers and list the highest common factor.
The factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780
The factors of 1316 are 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316
The HCF of 5780,1316 is 4.
Lets's calculate GCF of 5780,1316
| 2 | 5780, 1316 |
| 2 | 2890, 658 |
| 1445, 329 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5780,1316 By Matching Biggest Common Factor Method
Now, list down the factors of 5780
:1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780
Now, list down the factors of 1316
:1,2,4,7,14,28,47,94,188,329,658,1316
Greatest Common Factor
We found the factors 5780,1316 . The biggest common factor number is the GCF number.
So the greatest common factor 5780,1316 is 4.
Lets's calculate LCM of 572,1682
| 2 | 572, 1682 |
| 286, 841 |
∴ So the LCM of the given numbers is 2 x 286 x 841 = 481052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/481052
Therefore, the GCF of Fractions 5780/572,1316/1682 is 4/481052
Least Common Multiple of 572,1682 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 572,1682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,1682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,1682) x common factors =2 x 1 = 2
LCM(572,1682) = ( 572 × 1682 ) / 2
LCM(572,1682) = 962104 / 2
LCM(572,1682) = 481052
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FAQs on GCF of Fractions of 5780/572, 1316/1682
1. What is the HCF of 5780,1316?
The HCF of 5780,1316 is 4
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 5780/572, 1316/1682?
Answer: GCF of Numerators as per given numbers 5780/572, 1316/1682 is
GCF of Numerators i.e. for 5780,1316 is 4
LCM of denominators i.e. for 572,1682 is 481052.
Thus, GCF of Fractions is 4/481052.Finally, GCF of Fractions for 5780/572, 1316/1682 is 4/481052.