GCF of 2/44, 70/48, 34/420, 686/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2/44, 70/48, 34/420, 686/644 i.e 2/425040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/44, 70/48, 34/420, 686/644.
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 2/44,70/48,34/420,686/644?
Given fractions are 2/44,70/48,34/420,686/644
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 2/44,70/48,34/420,686/644, numerators are 2,70,34,686
Denominators are 44,48,420,644
The GCF of 2,70,34,686 is 2 .
LCM of 44,48,420,644 is 425040.
The greatest common factor of 2/44,70/48,34/420,686/644 = [GCF of 2,70,34,686]/[LCM of 44,48,420,644]= 2/425040
Therefore, the GCF of 2/44,70/48,34/420,686/644 is 2/425040.
To find the highest common factor of 2,70,34,686, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 34 are 1, 2, 17, 34
The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686
The HCF of 2,70,34,686 is 2.
Lets's calculate GCF of 2,70,34,686
| 2 | 2, 70, 34, 686 |
| 1, 35, 17, 343 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2,70,34,686 By Matching Biggest Common Factor Method
Now, list down the factors of 2
:1,2
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 686
:1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 2,70,34,686 . The biggest common factor number is the GCF number.
So the greatest common factor 2,70,34,686 is 2.
Lets's calculate LCM of 44,48,420,644
| 2 | 44, 48, 420, 644 |
| 2 | 22, 24, 210, 322 |
| 3 | 11, 12, 105, 161 |
| 7 | 11, 4, 35, 161 |
| 11, 4, 5, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 11 x 4 x 5 x 23 = 425040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/425040
Therefore, the GCF of Fractions 2/44,70/48,34/420,686/644 is 2/425040
Least Common Multiple of 44,48,420,644 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 44,48,420,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,48,420,644) = 4
common factors(in case of two or more numbers have common factors) = 336
GCF(44,48,420,644) x common factors =4 x 336 = 1344
LCM(44,48,420,644) = ( 44 × 48 × 420 × 644 ) / 1344
LCM(44,48,420,644) = 571253760 / 1344
LCM(44,48,420,644) = 425040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2/44, 70/48, 34/420, 686/644
1. What is the HCF of 2,70,34,686?
The HCF of 2,70,34,686 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 2/44, 70/48, 34/420, 686/644?
Answer: GCF of Numerators as per given numbers 2/44, 70/48, 34/420, 686/644 is
GCF of Numerators i.e. for 2,70,34,686 is 2
LCM of denominators i.e. for 44,48,420,644 is 425040.
Thus, GCF of Fractions is 2/425040.Finally, GCF of Fractions for 2/44, 70/48, 34/420, 686/644 is 2/425040.