GCF of 7356/568, 7980/947
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7356/568, 7980/947 i.e 12/537896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7356/568, 7980/947.
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 7356/568,7980/947?
Given fractions are 7356/568,7980/947
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 7356/568,7980/947, numerators are 7356,7980
Denominators are 568,947
The GCF of 7356,7980 is 12 .
LCM of 568,947 is 537896.
The greatest common factor of 7356/568,7980/947 = [GCF of 7356,7980]/[LCM of 568,947]= 12/537896
Therefore, the GCF of 7356/568,7980/947 is 12/537896.
To find the highest common factor of 7356,7980, we have to find the factors of both numbers and list the highest common factor.
The factors of 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356
The factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980
The HCF of 7356,7980 is 12.
Lets's calculate GCF of 7356,7980
| 2 | 7356, 7980 |
| 2 | 3678, 3990 |
| 3 | 1839, 1995 |
| 613, 665 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7356,7980 By Matching Biggest Common Factor Method
Now, list down the factors of 7356
:1,2,3,4,6,12,613,1226,1839,2452,3678,7356
Now, list down the factors of 7980
:1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980
Greatest Common Factor
We found the factors 7356,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 7356,7980 is 12.
Lets's calculate LCM of 568,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 537896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/537896
Therefore, the GCF of Fractions 7356/568,7980/947 is 12/537896
Least Common Multiple of 568,947 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 568,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(568,947) x common factors =1 x 1 = 1
LCM(568,947) = ( 568 × 947 ) / 1
LCM(568,947) = 537896 / 1
LCM(568,947) = 537896
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FAQs on GCF of Fractions of 7356/568, 7980/947
1. What is the HCF of 7356,7980?
The HCF of 7356,7980 is 12
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 7356/568, 7980/947?
Answer: GCF of Numerators as per given numbers 7356/568, 7980/947 is
GCF of Numerators i.e. for 7356,7980 is 12
LCM of denominators i.e. for 568,947 is 537896.
Thus, GCF of Fractions is 12/537896.Finally, GCF of Fractions for 7356/568, 7980/947 is 12/537896.