GCF of 2730/825, 5141/7642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2730/825, 5141/7642 i.e 1/6304650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2730/825, 5141/7642.
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 2730/825,5141/7642?
Given fractions are 2730/825,5141/7642
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 2730/825,5141/7642, numerators are 2730,5141
Denominators are 825,7642
The GCF of 2730,5141 is 1 .
LCM of 825,7642 is 6304650.
The greatest common factor of 2730/825,5141/7642 = [GCF of 2730,5141]/[LCM of 825,7642]= 1/6304650
Therefore, the GCF of 2730/825,5141/7642 is 1/6304650.
To find the highest common factor of 2730,5141, we have to find the factors of both numbers and list the highest common factor.
The factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730
The factors of 5141 are 1, 53, 97, 5141
The HCF of 2730,5141 is 1.
Lets's calculate GCF of 2730,5141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2730,5141 By Matching Biggest Common Factor Method
Now, list down the factors of 2730
:1,2,3,5,6,7,10,13,14,15,21,26,30,35,39,42,65,70,78,91,105,130,182,195,210,273,390,455,546,910,1365,2730
Now, list down the factors of 5141
:1,53,97,5141
Greatest Common Factor
We found the factors 2730,5141 . The biggest common factor number is the GCF number.
So the greatest common factor 2730,5141 is 1.
Lets's calculate LCM of 825,7642
Given numbers has no common factors except 1. So, there LCM is their product i.e 6304650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6304650
Therefore, the GCF of Fractions 2730/825,5141/7642 is 1/6304650
Least Common Multiple of 825,7642 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 825,7642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,7642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,7642) x common factors =1 x 1 = 1
LCM(825,7642) = ( 825 × 7642 ) / 1
LCM(825,7642) = 6304650 / 1
LCM(825,7642) = 6304650
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FAQs on GCF of Fractions of 2730/825, 5141/7642
1. What is the HCF of 2730,5141?
The HCF of 2730,5141 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 2730/825, 5141/7642?
Answer: GCF of Numerators as per given numbers 2730/825, 5141/7642 is
GCF of Numerators i.e. for 2730,5141 is 1
LCM of denominators i.e. for 825,7642 is 6304650.
Thus, GCF of Fractions is 1/6304650.Finally, GCF of Fractions for 2730/825, 5141/7642 is 1/6304650.