GCF of 742/630, 848/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 742/630, 848/396 i.e 106/13860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 742/630, 848/396.
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 742/630,848/396?
Given fractions are 742/630,848/396
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 742/630,848/396, numerators are 742,848
Denominators are 630,396
The GCF of 742,848 is 106 .
LCM of 630,396 is 13860.
The greatest common factor of 742/630,848/396 = [GCF of 742,848]/[LCM of 630,396]= 106/13860
Therefore, the GCF of 742/630,848/396 is 106/13860.
To find the highest common factor of 742,848, we have to find the factors of both numbers and list the highest common factor.
The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The HCF of 742,848 is 106.
Lets's calculate GCF of 742,848
| 2 | 742, 848 |
| 53 | 371, 424 |
| 7, 8 |
∴ So the GCF of the given numbers is 2 x 53 = 106
Greatest Common Factor of 742,848 By Matching Biggest Common Factor Method
Now, list down the factors of 742
:1,2,7,14,53,106,371,742
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 742,848 . The biggest common factor number is the GCF number.
So the greatest common factor 742,848 is 106.
Lets's calculate LCM of 630,396
| 2 | 630, 396 |
| 3 | 315, 198 |
| 3 | 105, 66 |
| 35, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 35 x 22 = 13860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 106/13860
Therefore, the GCF of Fractions 742/630,848/396 is 106/13860
Least Common Multiple of 630,396 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 630,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,396) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(630,396) x common factors =18 x 1 = 18
LCM(630,396) = ( 630 × 396 ) / 18
LCM(630,396) = 249480 / 18
LCM(630,396) = 13860
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FAQs on GCF of Fractions of 742/630, 848/396
1. What is the HCF of 742,848?
The HCF of 742,848 is 106
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 742/630, 848/396?
Answer: GCF of Numerators as per given numbers 742/630, 848/396 is
GCF of Numerators i.e. for 742,848 is 106
LCM of denominators i.e. for 630,396 is 13860.
Thus, GCF of Fractions is 106/13860.Finally, GCF of Fractions for 742/630, 848/396 is 106/13860.