GCF of 2970/564, 5716/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2970/564, 5716/574 i.e 2/161868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2970/564, 5716/574.
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 2970/564,5716/574?
Given fractions are 2970/564,5716/574
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 2970/564,5716/574, numerators are 2970,5716
Denominators are 564,574
The GCF of 2970,5716 is 2 .
LCM of 564,574 is 161868.
The greatest common factor of 2970/564,5716/574 = [GCF of 2970,5716]/[LCM of 564,574]= 2/161868
Therefore, the GCF of 2970/564,5716/574 is 2/161868.
To find the highest common factor of 2970,5716, we have to find the factors of both numbers and list the highest common factor.
The factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970
The factors of 5716 are 1, 2, 4, 1429, 2858, 5716
The HCF of 2970,5716 is 2.
Lets's calculate GCF of 2970,5716
| 2 | 2970, 5716 |
| 1485, 2858 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2970,5716 By Matching Biggest Common Factor Method
Now, list down the factors of 2970
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Now, list down the factors of 5716
:1,2,4,1429,2858,5716
Greatest Common Factor
We found the factors 2970,5716 . The biggest common factor number is the GCF number.
So the greatest common factor 2970,5716 is 2.
Lets's calculate LCM of 564,574
| 2 | 564, 574 |
| 282, 287 |
∴ So the LCM of the given numbers is 2 x 282 x 287 = 161868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/161868
Therefore, the GCF of Fractions 2970/564,5716/574 is 2/161868
Least Common Multiple of 564,574 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 564,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,574) x common factors =2 x 1 = 2
LCM(564,574) = ( 564 × 574 ) / 2
LCM(564,574) = 323736 / 2
LCM(564,574) = 161868
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FAQs on GCF of Fractions of 2970/564, 5716/574
1. What is the HCF of 2970,5716?
The HCF of 2970,5716 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 2970/564, 5716/574?
Answer: GCF of Numerators as per given numbers 2970/564, 5716/574 is
GCF of Numerators i.e. for 2970,5716 is 2
LCM of denominators i.e. for 564,574 is 161868.
Thus, GCF of Fractions is 2/161868.Finally, GCF of Fractions for 2970/564, 5716/574 is 2/161868.