GCF of 38/70, 622/84, 713/300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 38/70, 622/84, 713/300 i.e 1/2100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/70, 622/84, 713/300.
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 38/70,622/84,713/300?
Given fractions are 38/70,622/84,713/300
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 38/70,622/84,713/300, numerators are 38,622,713
Denominators are 70,84,300
The GCF of 38,622,713 is 1 .
LCM of 70,84,300 is 2100.
The greatest common factor of 38/70,622/84,713/300 = [GCF of 38,622,713]/[LCM of 70,84,300]= 1/2100
Therefore, the GCF of 38/70,622/84,713/300 is 1/2100.
To find the highest common factor of 38,622,713, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 622 are 1, 2, 311, 622
The factors of 713 are 1, 23, 31, 713
The HCF of 38,622,713 is 1.
Lets's calculate GCF of 38,622,713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 38,622,713 By Matching Biggest Common Factor Method
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 622
:1,2,311,622
Now, list down the factors of 713
:1,23,31,713
Greatest Common Factor
We found the factors 38,622,713 . The biggest common factor number is the GCF number.
So the greatest common factor 38,622,713 is 1.
Lets's calculate LCM of 70,84,300
| 2 | 70, 84, 300 |
| 2 | 35, 42, 150 |
| 3 | 35, 21, 75 |
| 5 | 35, 7, 25 |
| 7 | 7, 7, 5 |
| 1, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 1 x 5 = 2100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2100
Therefore, the GCF of Fractions 38/70,622/84,713/300 is 1/2100
Least Common Multiple of 70,84,300 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 70,84,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,84,300) = 2
common factors(in case of two or more numbers have common factors) = 420
GCF(70,84,300) x common factors =2 x 420 = 840
LCM(70,84,300) = ( 70 × 84 × 300 ) / 840
LCM(70,84,300) = 1764000 / 840
LCM(70,84,300) = 2100
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FAQs on GCF of Fractions of 38/70, 622/84, 713/300
1. What is the HCF of 38,622,713?
The HCF of 38,622,713 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 38/70, 622/84, 713/300?
Answer: GCF of Numerators as per given numbers 38/70, 622/84, 713/300 is
GCF of Numerators i.e. for 38,622,713 is 1
LCM of denominators i.e. for 70,84,300 is 2100.
Thus, GCF of Fractions is 1/2100.Finally, GCF of Fractions for 38/70, 622/84, 713/300 is 1/2100.