GCF of 2762/349, 4847/6228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2762/349, 4847/6228 i.e 1/2173572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2762/349, 4847/6228.
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 2762/349,4847/6228?
Given fractions are 2762/349,4847/6228
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 2762/349,4847/6228, numerators are 2762,4847
Denominators are 349,6228
The GCF of 2762,4847 is 1 .
LCM of 349,6228 is 2173572.
The greatest common factor of 2762/349,4847/6228 = [GCF of 2762,4847]/[LCM of 349,6228]= 1/2173572
Therefore, the GCF of 2762/349,4847/6228 is 1/2173572.
To find the highest common factor of 2762,4847, we have to find the factors of both numbers and list the highest common factor.
The factors of 2762 are 1, 2, 1381, 2762
The factors of 4847 are 1, 37, 131, 4847
The HCF of 2762,4847 is 1.
Lets's calculate GCF of 2762,4847
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2762,4847 By Matching Biggest Common Factor Method
Now, list down the factors of 2762
:1,2,1381,2762
Now, list down the factors of 4847
:1,37,131,4847
Greatest Common Factor
We found the factors 2762,4847 . The biggest common factor number is the GCF number.
So the greatest common factor 2762,4847 is 1.
Lets's calculate LCM of 349,6228
Given numbers has no common factors except 1. So, there LCM is their product i.e 2173572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2173572
Therefore, the GCF of Fractions 2762/349,4847/6228 is 1/2173572
Least Common Multiple of 349,6228 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 349,6228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,6228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,6228) x common factors =1 x 1 = 1
LCM(349,6228) = ( 349 × 6228 ) / 1
LCM(349,6228) = 2173572 / 1
LCM(349,6228) = 2173572
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FAQs on GCF of Fractions of 2762/349, 4847/6228
1. What is the HCF of 2762,4847?
The HCF of 2762,4847 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 2762/349, 4847/6228?
Answer: GCF of Numerators as per given numbers 2762/349, 4847/6228 is
GCF of Numerators i.e. for 2762,4847 is 1
LCM of denominators i.e. for 349,6228 is 2173572.
Thus, GCF of Fractions is 1/2173572.Finally, GCF of Fractions for 2762/349, 4847/6228 is 1/2173572.