GCF of 140/76, 395/694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 140/76, 395/694 i.e 5/26372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 140/76, 395/694.
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 140/76,395/694?
Given fractions are 140/76,395/694
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 140/76,395/694, numerators are 140,395
Denominators are 76,694
The GCF of 140,395 is 5 .
LCM of 76,694 is 26372.
The greatest common factor of 140/76,395/694 = [GCF of 140,395]/[LCM of 76,694]= 5/26372
Therefore, the GCF of 140/76,395/694 is 5/26372.
To find the highest common factor of 140,395, we have to find the factors of both numbers and list the highest common factor.
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The factors of 395 are 1, 5, 79, 395
The HCF of 140,395 is 5.
Lets's calculate GCF of 140,395
| 5 | 140, 395 |
| 28, 79 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 140,395 By Matching Biggest Common Factor Method
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Now, list down the factors of 395
:1,5,79,395
Greatest Common Factor
We found the factors 140,395 . The biggest common factor number is the GCF number.
So the greatest common factor 140,395 is 5.
Lets's calculate LCM of 76,694
| 2 | 76, 694 |
| 38, 347 |
∴ So the LCM of the given numbers is 2 x 38 x 347 = 26372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/26372
Therefore, the GCF of Fractions 140/76,395/694 is 5/26372
Least Common Multiple of 76,694 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 76,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(76,694) x common factors =2 x 1 = 2
LCM(76,694) = ( 76 × 694 ) / 2
LCM(76,694) = 52744 / 2
LCM(76,694) = 26372
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FAQs on GCF of Fractions of 140/76, 395/694
1. What is the HCF of 140,395?
The HCF of 140,395 is 5
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 140/76, 395/694?
Answer: GCF of Numerators as per given numbers 140/76, 395/694 is
GCF of Numerators i.e. for 140,395 is 5
LCM of denominators i.e. for 76,694 is 26372.
Thus, GCF of Fractions is 5/26372.Finally, GCF of Fractions for 140/76, 395/694 is 5/26372.