GCF of 2747/254, 7373/4705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2747/254, 7373/4705 i.e 1/1195070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2747/254, 7373/4705.
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 2747/254,7373/4705?
Given fractions are 2747/254,7373/4705
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 2747/254,7373/4705, numerators are 2747,7373
Denominators are 254,4705
The GCF of 2747,7373 is 1 .
LCM of 254,4705 is 1195070.
The greatest common factor of 2747/254,7373/4705 = [GCF of 2747,7373]/[LCM of 254,4705]= 1/1195070
Therefore, the GCF of 2747/254,7373/4705 is 1/1195070.
To find the highest common factor of 2747,7373, we have to find the factors of both numbers and list the highest common factor.
The factors of 2747 are 1, 41, 67, 2747
The factors of 7373 are 1, 73, 101, 7373
The HCF of 2747,7373 is 1.
Lets's calculate GCF of 2747,7373
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2747,7373 By Matching Biggest Common Factor Method
Now, list down the factors of 2747
:1,41,67,2747
Now, list down the factors of 7373
:1,73,101,7373
Greatest Common Factor
We found the factors 2747,7373 . The biggest common factor number is the GCF number.
So the greatest common factor 2747,7373 is 1.
Lets's calculate LCM of 254,4705
Given numbers has no common factors except 1. So, there LCM is their product i.e 1195070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1195070
Therefore, the GCF of Fractions 2747/254,7373/4705 is 1/1195070
Least Common Multiple of 254,4705 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 254,4705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,4705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,4705) x common factors =1 x 1 = 1
LCM(254,4705) = ( 254 × 4705 ) / 1
LCM(254,4705) = 1195070 / 1
LCM(254,4705) = 1195070
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FAQs on GCF of Fractions of 2747/254, 7373/4705
1. What is the HCF of 2747,7373?
The HCF of 2747,7373 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 2747/254, 7373/4705?
Answer: GCF of Numerators as per given numbers 2747/254, 7373/4705 is
GCF of Numerators i.e. for 2747,7373 is 1
LCM of denominators i.e. for 254,4705 is 1195070.
Thus, GCF of Fractions is 1/1195070.Finally, GCF of Fractions for 2747/254, 7373/4705 is 1/1195070.