GCF of 6/29, 48/63, 10/598, 642/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6/29, 48/63, 10/598, 642/326 i.e 2/178084998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/29, 48/63, 10/598, 642/326.
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 6/29,48/63,10/598,642/326?
Given fractions are 6/29,48/63,10/598,642/326
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 6/29,48/63,10/598,642/326, numerators are 6,48,10,642
Denominators are 29,63,598,326
The GCF of 6,48,10,642 is 2 .
LCM of 29,63,598,326 is 178084998.
The greatest common factor of 6/29,48/63,10/598,642/326 = [GCF of 6,48,10,642]/[LCM of 29,63,598,326]= 2/178084998
Therefore, the GCF of 6/29,48/63,10/598,642/326 is 2/178084998.
To find the highest common factor of 6,48,10,642, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 10 are 1, 2, 5, 10
The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642
The HCF of 6,48,10,642 is 2.
Lets's calculate GCF of 6,48,10,642
| 2 | 6, 48, 10, 642 |
| 3, 24, 5, 321 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6,48,10,642 By Matching Biggest Common Factor Method
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 642
:1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 6,48,10,642 . The biggest common factor number is the GCF number.
So the greatest common factor 6,48,10,642 is 2.
Lets's calculate LCM of 29,63,598,326
| 2 | 29, 63, 598, 326 |
| 29, 63, 299, 163 |
∴ So the LCM of the given numbers is 2 x 29 x 63 x 299 x 163 = 178084998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/178084998
Therefore, the GCF of Fractions 6/29,48/63,10/598,642/326 is 2/178084998
Least Common Multiple of 29,63,598,326 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 29,63,598,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,63,598,326) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,63,598,326) x common factors =1 x 2 = 2
LCM(29,63,598,326) = ( 29 × 63 × 598 × 326 ) / 2
LCM(29,63,598,326) = 356169996 / 2
LCM(29,63,598,326) = 178084998
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6/29, 48/63, 10/598, 642/326
1. What is the HCF of 6,48,10,642?
The HCF of 6,48,10,642 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 6/29, 48/63, 10/598, 642/326?
Answer: GCF of Numerators as per given numbers 6/29, 48/63, 10/598, 642/326 is
GCF of Numerators i.e. for 6,48,10,642 is 2
LCM of denominators i.e. for 29,63,598,326 is 178084998.
Thus, GCF of Fractions is 2/178084998.Finally, GCF of Fractions for 6/29, 48/63, 10/598, 642/326 is 2/178084998.