GCF of 126/692, 3621/4044
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 126/692, 3621/4044 i.e 3/699612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 126/692, 3621/4044.
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 126/692,3621/4044?
Given fractions are 126/692,3621/4044
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 126/692,3621/4044, numerators are 126,3621
Denominators are 692,4044
The GCF of 126,3621 is 3 .
LCM of 692,4044 is 699612.
The greatest common factor of 126/692,3621/4044 = [GCF of 126,3621]/[LCM of 692,4044]= 3/699612
Therefore, the GCF of 126/692,3621/4044 is 3/699612.
To find the highest common factor of 126,3621, we have to find the factors of both numbers and list the highest common factor.
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 3621 are 1, 3, 17, 51, 71, 213, 1207, 3621
The HCF of 126,3621 is 3.
Lets's calculate GCF of 126,3621
| 3 | 126, 3621 |
| 42, 1207 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 126,3621 By Matching Biggest Common Factor Method
Now, list down the factors of 126
:1,2,3,6,7,9,14,18,21,42,63,126
Now, list down the factors of 3621
:1,3,17,51,71,213,1207,3621
Greatest Common Factor
We found the factors 126,3621 . The biggest common factor number is the GCF number.
So the greatest common factor 126,3621 is 3.
Lets's calculate LCM of 692,4044
| 2 | 692, 4044 |
| 2 | 346, 2022 |
| 173, 1011 |
∴ So the LCM of the given numbers is 2 x 2 x 173 x 1011 = 699612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/699612
Therefore, the GCF of Fractions 126/692,3621/4044 is 3/699612
Least Common Multiple of 692,4044 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 692,4044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,4044) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(692,4044) x common factors =4 x 1 = 4
LCM(692,4044) = ( 692 × 4044 ) / 4
LCM(692,4044) = 2798448 / 4
LCM(692,4044) = 699612
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FAQs on GCF of Fractions of 126/692, 3621/4044
1. What is the HCF of 126,3621?
The HCF of 126,3621 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 126/692, 3621/4044?
Answer: GCF of Numerators as per given numbers 126/692, 3621/4044 is
GCF of Numerators i.e. for 126,3621 is 3
LCM of denominators i.e. for 692,4044 is 699612.
Thus, GCF of Fractions is 3/699612.Finally, GCF of Fractions for 126/692, 3621/4044 is 3/699612.