GCF of 3742/611, 6814/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3742/611, 6814/758 i.e 2/463138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3742/611, 6814/758.
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 3742/611,6814/758?
Given fractions are 3742/611,6814/758
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 3742/611,6814/758, numerators are 3742,6814
Denominators are 611,758
The GCF of 3742,6814 is 2 .
LCM of 611,758 is 463138.
The greatest common factor of 3742/611,6814/758 = [GCF of 3742,6814]/[LCM of 611,758]= 2/463138
Therefore, the GCF of 3742/611,6814/758 is 2/463138.
To find the highest common factor of 3742,6814, we have to find the factors of both numbers and list the highest common factor.
The factors of 3742 are 1, 2, 1871, 3742
The factors of 6814 are 1, 2, 3407, 6814
The HCF of 3742,6814 is 2.
Lets's calculate GCF of 3742,6814
| 2 | 3742, 6814 |
| 1871, 3407 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3742,6814 By Matching Biggest Common Factor Method
Now, list down the factors of 3742
:1,2,1871,3742
Now, list down the factors of 6814
:1,2,3407,6814
Greatest Common Factor
We found the factors 3742,6814 . The biggest common factor number is the GCF number.
So the greatest common factor 3742,6814 is 2.
Lets's calculate LCM of 611,758
Given numbers has no common factors except 1. So, there LCM is their product i.e 463138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/463138
Therefore, the GCF of Fractions 3742/611,6814/758 is 2/463138
Least Common Multiple of 611,758 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 611,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,758) x common factors =1 x 1 = 1
LCM(611,758) = ( 611 × 758 ) / 1
LCM(611,758) = 463138 / 1
LCM(611,758) = 463138
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FAQs on GCF of Fractions of 3742/611, 6814/758
1. What is the HCF of 3742,6814?
The HCF of 3742,6814 is 2
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 3742/611, 6814/758?
Answer: GCF of Numerators as per given numbers 3742/611, 6814/758 is
GCF of Numerators i.e. for 3742,6814 is 2
LCM of denominators i.e. for 611,758 is 463138.
Thus, GCF of Fractions is 2/463138.Finally, GCF of Fractions for 3742/611, 6814/758 is 2/463138.