GCF of 7774/348, 3126/522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7774/348, 3126/522 i.e 2/1044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7774/348, 3126/522.
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 7774/348,3126/522?
Given fractions are 7774/348,3126/522
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 7774/348,3126/522, numerators are 7774,3126
Denominators are 348,522
The GCF of 7774,3126 is 2 .
LCM of 348,522 is 1044.
The greatest common factor of 7774/348,3126/522 = [GCF of 7774,3126]/[LCM of 348,522]= 2/1044
Therefore, the GCF of 7774/348,3126/522 is 2/1044.
To find the highest common factor of 7774,3126, we have to find the factors of both numbers and list the highest common factor.
The factors of 7774 are 1, 2, 13, 23, 26, 46, 169, 299, 338, 598, 3887, 7774
The factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126
The HCF of 7774,3126 is 2.
Lets's calculate GCF of 7774,3126
| 2 | 7774, 3126 |
| 3887, 1563 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7774,3126 By Matching Biggest Common Factor Method
Now, list down the factors of 7774
:1,2,13,23,26,46,169,299,338,598,3887,7774
Now, list down the factors of 3126
:1,2,3,6,521,1042,1563,3126
Greatest Common Factor
We found the factors 7774,3126 . The biggest common factor number is the GCF number.
So the greatest common factor 7774,3126 is 2.
Lets's calculate LCM of 348,522
| 2 | 348, 522 |
| 3 | 174, 261 |
| 29 | 58, 87 |
| 2, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 2 x 3 = 1044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1044
Therefore, the GCF of Fractions 7774/348,3126/522 is 2/1044
Least Common Multiple of 348,522 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 348,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,522) = 174
common factors(in case of two or more numbers have common factors) = 1
GCF(348,522) x common factors =174 x 1 = 174
LCM(348,522) = ( 348 × 522 ) / 174
LCM(348,522) = 181656 / 174
LCM(348,522) = 1044
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7774/348, 3126/522
1. What is the HCF of 7774,3126?
The HCF of 7774,3126 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 7774/348, 3126/522?
Answer: GCF of Numerators as per given numbers 7774/348, 3126/522 is
GCF of Numerators i.e. for 7774,3126 is 2
LCM of denominators i.e. for 348,522 is 1044.
Thus, GCF of Fractions is 2/1044.Finally, GCF of Fractions for 7774/348, 3126/522 is 2/1044.