GCF of 847/180, 2888/1996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 847/180, 2888/1996 i.e 1/89820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 847/180, 2888/1996.
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 847/180,2888/1996?
Given fractions are 847/180,2888/1996
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 847/180,2888/1996, numerators are 847,2888
Denominators are 180,1996
The GCF of 847,2888 is 1 .
LCM of 180,1996 is 89820.
The greatest common factor of 847/180,2888/1996 = [GCF of 847,2888]/[LCM of 180,1996]= 1/89820
Therefore, the GCF of 847/180,2888/1996 is 1/89820.
To find the highest common factor of 847,2888, we have to find the factors of both numbers and list the highest common factor.
The factors of 847 are 1, 7, 11, 77, 121, 847
The factors of 2888 are 1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888
The HCF of 847,2888 is 1.
Lets's calculate GCF of 847,2888
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 847,2888 By Matching Biggest Common Factor Method
Now, list down the factors of 847
:1,7,11,77,121,847
Now, list down the factors of 2888
:1,2,4,8,19,38,76,152,361,722,1444,2888
Greatest Common Factor
We found the factors 847,2888 . The biggest common factor number is the GCF number.
So the greatest common factor 847,2888 is 1.
Lets's calculate LCM of 180,1996
| 2 | 180, 1996 |
| 2 | 90, 998 |
| 45, 499 |
∴ So the LCM of the given numbers is 2 x 2 x 45 x 499 = 89820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89820
Therefore, the GCF of Fractions 847/180,2888/1996 is 1/89820
Least Common Multiple of 180,1996 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 180,1996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,1996) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(180,1996) x common factors =4 x 1 = 4
LCM(180,1996) = ( 180 × 1996 ) / 4
LCM(180,1996) = 359280 / 4
LCM(180,1996) = 89820
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FAQs on GCF of Fractions of 847/180, 2888/1996
1. What is the HCF of 847,2888?
The HCF of 847,2888 is 1
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 847/180, 2888/1996?
Answer: GCF of Numerators as per given numbers 847/180, 2888/1996 is
GCF of Numerators i.e. for 847,2888 is 1
LCM of denominators i.e. for 180,1996 is 89820.
Thus, GCF of Fractions is 1/89820.Finally, GCF of Fractions for 847/180, 2888/1996 is 1/89820.