GCF of 2970/652, 5625/4145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2970/652, 5625/4145 i.e 45/2702540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2970/652, 5625/4145.
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 2970/652,5625/4145?
Given fractions are 2970/652,5625/4145
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 2970/652,5625/4145, numerators are 2970,5625
Denominators are 652,4145
The GCF of 2970,5625 is 45 .
LCM of 652,4145 is 2702540.
The greatest common factor of 2970/652,5625/4145 = [GCF of 2970,5625]/[LCM of 652,4145]= 45/2702540
Therefore, the GCF of 2970/652,5625/4145 is 45/2702540.
To find the highest common factor of 2970,5625, 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 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625
The HCF of 2970,5625 is 45.
Lets's calculate GCF of 2970,5625
| 3 | 2970, 5625 |
| 3 | 990, 1875 |
| 5 | 330, 625 |
| 66, 125 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 2970,5625 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 5625
:1,3,5,9,15,25,45,75,125,225,375,625,1125,1875,5625
Greatest Common Factor
We found the factors 2970,5625 . The biggest common factor number is the GCF number.
So the greatest common factor 2970,5625 is 45.
Lets's calculate LCM of 652,4145
Given numbers has no common factors except 1. So, there LCM is their product i.e 2702540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/2702540
Therefore, the GCF of Fractions 2970/652,5625/4145 is 45/2702540
Least Common Multiple of 652,4145 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 652,4145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,4145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,4145) x common factors =1 x 1 = 1
LCM(652,4145) = ( 652 × 4145 ) / 1
LCM(652,4145) = 2702540 / 1
LCM(652,4145) = 2702540
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FAQs on GCF of Fractions of 2970/652, 5625/4145
1. What is the HCF of 2970,5625?
The HCF of 2970,5625 is 45
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 2970/652, 5625/4145?
Answer: GCF of Numerators as per given numbers 2970/652, 5625/4145 is
GCF of Numerators i.e. for 2970,5625 is 45
LCM of denominators i.e. for 652,4145 is 2702540.
Thus, GCF of Fractions is 45/2702540.Finally, GCF of Fractions for 2970/652, 5625/4145 is 45/2702540.