GCF of 34/66, 938/37, 758/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/66, 938/37, 758/153 i.e 2/124542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/66, 938/37, 758/153.
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 34/66,938/37,758/153?
Given fractions are 34/66,938/37,758/153
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 34/66,938/37,758/153, numerators are 34,938,758
Denominators are 66,37,153
The GCF of 34,938,758 is 2 .
LCM of 66,37,153 is 124542.
The greatest common factor of 34/66,938/37,758/153 = [GCF of 34,938,758]/[LCM of 66,37,153]= 2/124542
Therefore, the GCF of 34/66,938/37,758/153 is 2/124542.
To find the highest common factor of 34,938,758, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The factors of 758 are 1, 2, 379, 758
The HCF of 34,938,758 is 2.
Lets's calculate GCF of 34,938,758
| 2 | 34, 938, 758 |
| 17, 469, 379 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,938,758 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Now, list down the factors of 758
:1,2,379,758
Greatest Common Factor
We found the factors 34,938,758 . The biggest common factor number is the GCF number.
So the greatest common factor 34,938,758 is 2.
Lets's calculate LCM of 66,37,153
| 3 | 66, 37, 153 |
| 22, 37, 51 |
∴ So the LCM of the given numbers is 3 x 22 x 37 x 51 = 124542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124542
Therefore, the GCF of Fractions 34/66,938/37,758/153 is 2/124542
Least Common Multiple of 66,37,153 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 66,37,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,37,153) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(66,37,153) x common factors =1 x 3 = 3
LCM(66,37,153) = ( 66 × 37 × 153 ) / 3
LCM(66,37,153) = 373626 / 3
LCM(66,37,153) = 124542
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 34/66, 938/37, 758/153
1. What is the HCF of 34,938,758?
The HCF of 34,938,758 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 34/66, 938/37, 758/153?
Answer: GCF of Numerators as per given numbers 34/66, 938/37, 758/153 is
GCF of Numerators i.e. for 34,938,758 is 2
LCM of denominators i.e. for 66,37,153 is 124542.
Thus, GCF of Fractions is 2/124542.Finally, GCF of Fractions for 34/66, 938/37, 758/153 is 2/124542.