GCF of 1/30, 63/82, 94/788, 648/970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1/30, 63/82, 94/788, 648/970 i.e 1/47008140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/30, 63/82, 94/788, 648/970.
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 1/30,63/82,94/788,648/970?
Given fractions are 1/30,63/82,94/788,648/970
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 1/30,63/82,94/788,648/970, numerators are 1,63,94,648
Denominators are 30,82,788,970
The GCF of 1,63,94,648 is 1 .
LCM of 30,82,788,970 is 47008140.
The greatest common factor of 1/30,63/82,94/788,648/970 = [GCF of 1,63,94,648]/[LCM of 30,82,788,970]= 1/47008140
Therefore, the GCF of 1/30,63/82,94/788,648/970 is 1/47008140.
To find the highest common factor of 1,63,94,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 94 are 1, 2, 47, 94
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 1,63,94,648 is 1.
Lets's calculate GCF of 1,63,94,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1,63,94,648 By Matching Biggest Common Factor Method
Now, list down the factors of 1
:1
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 1,63,94,648 . The biggest common factor number is the GCF number.
So the greatest common factor 1,63,94,648 is 1.
Lets's calculate LCM of 30,82,788,970
| 2 | 30, 82, 788, 970 |
| 5 | 15, 41, 394, 485 |
| 3, 41, 394, 97 |
∴ So the LCM of the given numbers is 2 x 5 x 3 x 41 x 394 x 97 = 47008140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47008140
Therefore, the GCF of Fractions 1/30,63/82,94/788,648/970 is 1/47008140
Least Common Multiple of 30,82,788,970 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 30,82,788,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,82,788,970) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(30,82,788,970) x common factors =2 x 20 = 40
LCM(30,82,788,970) = ( 30 × 82 × 788 × 970 ) / 40
LCM(30,82,788,970) = 1880325600 / 40
LCM(30,82,788,970) = 47008140
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1/30, 63/82, 94/788, 648/970
1. What is the HCF of 1,63,94,648?
The HCF of 1,63,94,648 is 1
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 1/30, 63/82, 94/788, 648/970?
Answer: GCF of Numerators as per given numbers 1/30, 63/82, 94/788, 648/970 is
GCF of Numerators i.e. for 1,63,94,648 is 1
LCM of denominators i.e. for 30,82,788,970 is 47008140.
Thus, GCF of Fractions is 1/47008140.Finally, GCF of Fractions for 1/30, 63/82, 94/788, 648/970 is 1/47008140.