GCF of 2970/547, 7820/3824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2970/547, 7820/3824 i.e 10/2091728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2970/547, 7820/3824.
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 2970/547,7820/3824?
Given fractions are 2970/547,7820/3824
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 2970/547,7820/3824, numerators are 2970,7820
Denominators are 547,3824
The GCF of 2970,7820 is 10 .
LCM of 547,3824 is 2091728.
The greatest common factor of 2970/547,7820/3824 = [GCF of 2970,7820]/[LCM of 547,3824]= 10/2091728
Therefore, the GCF of 2970/547,7820/3824 is 10/2091728.
To find the highest common factor of 2970,7820, 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 7820 are 1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820
The HCF of 2970,7820 is 10.
Lets's calculate GCF of 2970,7820
| 2 | 2970, 7820 |
| 5 | 1485, 3910 |
| 297, 782 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2970,7820 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 7820
:1,2,4,5,10,17,20,23,34,46,68,85,92,115,170,230,340,391,460,782,1564,1955,3910,7820
Greatest Common Factor
We found the factors 2970,7820 . The biggest common factor number is the GCF number.
So the greatest common factor 2970,7820 is 10.
Lets's calculate LCM of 547,3824
Given numbers has no common factors except 1. So, there LCM is their product i.e 2091728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2091728
Therefore, the GCF of Fractions 2970/547,7820/3824 is 10/2091728
Least Common Multiple of 547,3824 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 547,3824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,3824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,3824) x common factors =1 x 1 = 1
LCM(547,3824) = ( 547 × 3824 ) / 1
LCM(547,3824) = 2091728 / 1
LCM(547,3824) = 2091728
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FAQs on GCF of Fractions of 2970/547, 7820/3824
1. What is the HCF of 2970,7820?
The HCF of 2970,7820 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 2970/547, 7820/3824?
Answer: GCF of Numerators as per given numbers 2970/547, 7820/3824 is
GCF of Numerators i.e. for 2970,7820 is 10
LCM of denominators i.e. for 547,3824 is 2091728.
Thus, GCF of Fractions is 10/2091728.Finally, GCF of Fractions for 2970/547, 7820/3824 is 10/2091728.