GCF of 142/205, 6963/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 142/205, 6963/750 i.e 1/30750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 142/205, 6963/750.
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 142/205,6963/750?
Given fractions are 142/205,6963/750
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 142/205,6963/750, numerators are 142,6963
Denominators are 205,750
The GCF of 142,6963 is 1 .
LCM of 205,750 is 30750.
The greatest common factor of 142/205,6963/750 = [GCF of 142,6963]/[LCM of 205,750]= 1/30750
Therefore, the GCF of 142/205,6963/750 is 1/30750.
To find the highest common factor of 142,6963, we have to find the factors of both numbers and list the highest common factor.
The factors of 142 are 1, 2, 71, 142
The factors of 6963 are 1, 3, 11, 33, 211, 633, 2321, 6963
The HCF of 142,6963 is 1.
Lets's calculate GCF of 142,6963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 142,6963 By Matching Biggest Common Factor Method
Now, list down the factors of 142
:1,2,71,142
Now, list down the factors of 6963
:1,3,11,33,211,633,2321,6963
Greatest Common Factor
We found the factors 142,6963 . The biggest common factor number is the GCF number.
So the greatest common factor 142,6963 is 1.
Lets's calculate LCM of 205,750
| 5 | 205, 750 |
| 41, 150 |
∴ So the LCM of the given numbers is 5 x 41 x 150 = 30750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30750
Therefore, the GCF of Fractions 142/205,6963/750 is 1/30750
Least Common Multiple of 205,750 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 205,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,750) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,750) x common factors =5 x 1 = 5
LCM(205,750) = ( 205 × 750 ) / 5
LCM(205,750) = 153750 / 5
LCM(205,750) = 30750
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FAQs on GCF of Fractions of 142/205, 6963/750
1. What is the HCF of 142,6963?
The HCF of 142,6963 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 142/205, 6963/750?
Answer: GCF of Numerators as per given numbers 142/205, 6963/750 is
GCF of Numerators i.e. for 142,6963 is 1
LCM of denominators i.e. for 205,750 is 30750.
Thus, GCF of Fractions is 1/30750.Finally, GCF of Fractions for 142/205, 6963/750 is 1/30750.