GCF of 2742/758, 1035/6895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2742/758, 1035/6895 i.e 3/5226410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2742/758, 1035/6895.
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 2742/758,1035/6895?
Given fractions are 2742/758,1035/6895
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 2742/758,1035/6895, numerators are 2742,1035
Denominators are 758,6895
The GCF of 2742,1035 is 3 .
LCM of 758,6895 is 5226410.
The greatest common factor of 2742/758,1035/6895 = [GCF of 2742,1035]/[LCM of 758,6895]= 3/5226410
Therefore, the GCF of 2742/758,1035/6895 is 3/5226410.
To find the highest common factor of 2742,1035, we have to find the factors of both numbers and list the highest common factor.
The factors of 2742 are 1, 2, 3, 6, 457, 914, 1371, 2742
The factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035
The HCF of 2742,1035 is 3.
Lets's calculate GCF of 2742,1035
| 3 | 2742, 1035 |
| 914, 345 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2742,1035 By Matching Biggest Common Factor Method
Now, list down the factors of 2742
:1,2,3,6,457,914,1371,2742
Now, list down the factors of 1035
:1,3,5,9,15,23,45,69,115,207,345,1035
Greatest Common Factor
We found the factors 2742,1035 . The biggest common factor number is the GCF number.
So the greatest common factor 2742,1035 is 3.
Lets's calculate LCM of 758,6895
Given numbers has no common factors except 1. So, there LCM is their product i.e 5226410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5226410
Therefore, the GCF of Fractions 2742/758,1035/6895 is 3/5226410
Least Common Multiple of 758,6895 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 758,6895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,6895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,6895) x common factors =1 x 1 = 1
LCM(758,6895) = ( 758 × 6895 ) / 1
LCM(758,6895) = 5226410 / 1
LCM(758,6895) = 5226410
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FAQs on GCF of Fractions of 2742/758, 1035/6895
1. What is the HCF of 2742,1035?
The HCF of 2742,1035 is 3
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 2742/758, 1035/6895?
Answer: GCF of Numerators as per given numbers 2742/758, 1035/6895 is
GCF of Numerators i.e. for 2742,1035 is 3
LCM of denominators i.e. for 758,6895 is 5226410.
Thus, GCF of Fractions is 3/5226410.Finally, GCF of Fractions for 2742/758, 1035/6895 is 3/5226410.