GCF of 2940/947, 9072/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2940/947, 9072/159 i.e 84/150573 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2940/947, 9072/159.
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 2940/947,9072/159?
Given fractions are 2940/947,9072/159
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 2940/947,9072/159, numerators are 2940,9072
Denominators are 947,159
The GCF of 2940,9072 is 84 .
LCM of 947,159 is 150573.
The greatest common factor of 2940/947,9072/159 = [GCF of 2940,9072]/[LCM of 947,159]= 84/150573
Therefore, the GCF of 2940/947,9072/159 is 84/150573.
To find the highest common factor of 2940,9072, we have to find the factors of both numbers and list the highest common factor.
The factors of 2940 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940
The factors of 9072 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072
The HCF of 2940,9072 is 84.
Lets's calculate GCF of 2940,9072
| 2 | 2940, 9072 |
| 2 | 1470, 4536 |
| 3 | 735, 2268 |
| 7 | 245, 756 |
| 35, 108 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84
Greatest Common Factor of 2940,9072 By Matching Biggest Common Factor Method
Now, list down the factors of 2940
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940
Now, list down the factors of 9072
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072
Greatest Common Factor
We found the factors 2940,9072 . The biggest common factor number is the GCF number.
So the greatest common factor 2940,9072 is 84.
Lets's calculate LCM of 947,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 150573
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 84/150573
Therefore, the GCF of Fractions 2940/947,9072/159 is 84/150573
Least Common Multiple of 947,159 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 947,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,159) x common factors =1 x 1 = 1
LCM(947,159) = ( 947 × 159 ) / 1
LCM(947,159) = 150573 / 1
LCM(947,159) = 150573
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FAQs on GCF of Fractions of 2940/947, 9072/159
1. What is the HCF of 2940,9072?
The HCF of 2940,9072 is 84
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 2940/947, 9072/159?
Answer: GCF of Numerators as per given numbers 2940/947, 9072/159 is
GCF of Numerators i.e. for 2940,9072 is 84
LCM of denominators i.e. for 947,159 is 150573.
Thus, GCF of Fractions is 84/150573.Finally, GCF of Fractions for 2940/947, 9072/159 is 84/150573.