GCF of 2733/714, 1901/5980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2733/714, 1901/5980 i.e 1/2134860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2733/714, 1901/5980.
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 2733/714,1901/5980?
Given fractions are 2733/714,1901/5980
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 2733/714,1901/5980, numerators are 2733,1901
Denominators are 714,5980
The GCF of 2733,1901 is 1 .
LCM of 714,5980 is 2134860.
The greatest common factor of 2733/714,1901/5980 = [GCF of 2733,1901]/[LCM of 714,5980]= 1/2134860
Therefore, the GCF of 2733/714,1901/5980 is 1/2134860.
To find the highest common factor of 2733,1901, we have to find the factors of both numbers and list the highest common factor.
The factors of 2733 are 1, 3, 911, 2733
The factors of 1901 are 1, 1901
The HCF of 2733,1901 is 1.
Lets's calculate GCF of 2733,1901
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2733,1901 By Matching Biggest Common Factor Method
Now, list down the factors of 2733
:1,3,911,2733
Now, list down the factors of 1901
:1,1901
Greatest Common Factor
We found the factors 2733,1901 . The biggest common factor number is the GCF number.
So the greatest common factor 2733,1901 is 1.
Lets's calculate LCM of 714,5980
| 2 | 714, 5980 |
| 357, 2990 |
∴ So the LCM of the given numbers is 2 x 357 x 2990 = 2134860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2134860
Therefore, the GCF of Fractions 2733/714,1901/5980 is 1/2134860
Least Common Multiple of 714,5980 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 714,5980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,5980) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,5980) x common factors =2 x 1 = 2
LCM(714,5980) = ( 714 × 5980 ) / 2
LCM(714,5980) = 4269720 / 2
LCM(714,5980) = 2134860
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FAQs on GCF of Fractions of 2733/714, 1901/5980
1. What is the HCF of 2733,1901?
The HCF of 2733,1901 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 2733/714, 1901/5980?
Answer: GCF of Numerators as per given numbers 2733/714, 1901/5980 is
GCF of Numerators i.e. for 2733,1901 is 1
LCM of denominators i.e. for 714,5980 is 2134860.
Thus, GCF of Fractions is 1/2134860.Finally, GCF of Fractions for 2733/714, 1901/5980 is 1/2134860.