GCF of 3426/910, 7742/4664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3426/910, 7742/4664 i.e 2/2122120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3426/910, 7742/4664.
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 3426/910,7742/4664?
Given fractions are 3426/910,7742/4664
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 3426/910,7742/4664, numerators are 3426,7742
Denominators are 910,4664
The GCF of 3426,7742 is 2 .
LCM of 910,4664 is 2122120.
The greatest common factor of 3426/910,7742/4664 = [GCF of 3426,7742]/[LCM of 910,4664]= 2/2122120
Therefore, the GCF of 3426/910,7742/4664 is 2/2122120.
To find the highest common factor of 3426,7742, we have to find the factors of both numbers and list the highest common factor.
The factors of 3426 are 1, 2, 3, 6, 571, 1142, 1713, 3426
The factors of 7742 are 1, 2, 7, 14, 49, 79, 98, 158, 553, 1106, 3871, 7742
The HCF of 3426,7742 is 2.
Lets's calculate GCF of 3426,7742
| 2 | 3426, 7742 |
| 1713, 3871 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3426,7742 By Matching Biggest Common Factor Method
Now, list down the factors of 3426
:1,2,3,6,571,1142,1713,3426
Now, list down the factors of 7742
:1,2,7,14,49,79,98,158,553,1106,3871,7742
Greatest Common Factor
We found the factors 3426,7742 . The biggest common factor number is the GCF number.
So the greatest common factor 3426,7742 is 2.
Lets's calculate LCM of 910,4664
| 2 | 910, 4664 |
| 455, 2332 |
∴ So the LCM of the given numbers is 2 x 455 x 2332 = 2122120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2122120
Therefore, the GCF of Fractions 3426/910,7742/4664 is 2/2122120
Least Common Multiple of 910,4664 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 910,4664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,4664) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(910,4664) x common factors =2 x 1 = 2
LCM(910,4664) = ( 910 × 4664 ) / 2
LCM(910,4664) = 4244240 / 2
LCM(910,4664) = 2122120
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FAQs on GCF of Fractions of 3426/910, 7742/4664
1. What is the HCF of 3426,7742?
The HCF of 3426,7742 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 3426/910, 7742/4664?
Answer: GCF of Numerators as per given numbers 3426/910, 7742/4664 is
GCF of Numerators i.e. for 3426,7742 is 2
LCM of denominators i.e. for 910,4664 is 2122120.
Thus, GCF of Fractions is 2/2122120.Finally, GCF of Fractions for 3426/910, 7742/4664 is 2/2122120.