GCF of 70/446, 65/782, 912/609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 70/446, 65/782, 912/609 i.e 1/106201074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/446, 65/782, 912/609.
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 70/446,65/782,912/609?
Given fractions are 70/446,65/782,912/609
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 70/446,65/782,912/609, numerators are 70,65,912
Denominators are 446,782,609
The GCF of 70,65,912 is 1 .
LCM of 446,782,609 is 106201074.
The greatest common factor of 70/446,65/782,912/609 = [GCF of 70,65,912]/[LCM of 446,782,609]= 1/106201074
Therefore, the GCF of 70/446,65/782,912/609 is 1/106201074.
To find the highest common factor of 70,65,912, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 65 are 1, 5, 13, 65
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The HCF of 70,65,912 is 1.
Lets's calculate GCF of 70,65,912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 70,65,912 By Matching Biggest Common Factor Method
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 70,65,912 . The biggest common factor number is the GCF number.
So the greatest common factor 70,65,912 is 1.
Lets's calculate LCM of 446,782,609
| 2 | 446, 782, 609 |
| 223, 391, 609 |
∴ So the LCM of the given numbers is 2 x 223 x 391 x 609 = 106201074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106201074
Therefore, the GCF of Fractions 70/446,65/782,912/609 is 1/106201074
Least Common Multiple of 446,782,609 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 446,782,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,782,609) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(446,782,609) x common factors =1 x 2 = 2
LCM(446,782,609) = ( 446 × 782 × 609 ) / 2
LCM(446,782,609) = 212402148 / 2
LCM(446,782,609) = 106201074
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 70/446, 65/782, 912/609
1. What is the HCF of 70,65,912?
The HCF of 70,65,912 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 70/446, 65/782, 912/609?
Answer: GCF of Numerators as per given numbers 70/446, 65/782, 912/609 is
GCF of Numerators i.e. for 70,65,912 is 1
LCM of denominators i.e. for 446,782,609 is 106201074.
Thus, GCF of Fractions is 1/106201074.Finally, GCF of Fractions for 70/446, 65/782, 912/609 is 1/106201074.