GCF of 1242/850, 7127/9885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1242/850, 7127/9885 i.e 1/1680450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1242/850, 7127/9885.
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 1242/850,7127/9885?
Given fractions are 1242/850,7127/9885
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 1242/850,7127/9885, numerators are 1242,7127
Denominators are 850,9885
The GCF of 1242,7127 is 1 .
LCM of 850,9885 is 1680450.
The greatest common factor of 1242/850,7127/9885 = [GCF of 1242,7127]/[LCM of 850,9885]= 1/1680450
Therefore, the GCF of 1242/850,7127/9885 is 1/1680450.
To find the highest common factor of 1242,7127, we have to find the factors of both numbers and list the highest common factor.
The factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242
The factors of 7127 are 1, 7127
The HCF of 1242,7127 is 1.
Lets's calculate GCF of 1242,7127
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1242,7127 By Matching Biggest Common Factor Method
Now, list down the factors of 1242
:1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242
Now, list down the factors of 7127
:1,7127
Greatest Common Factor
We found the factors 1242,7127 . The biggest common factor number is the GCF number.
So the greatest common factor 1242,7127 is 1.
Lets's calculate LCM of 850,9885
| 5 | 850, 9885 |
| 170, 1977 |
∴ So the LCM of the given numbers is 5 x 170 x 1977 = 1680450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680450
Therefore, the GCF of Fractions 1242/850,7127/9885 is 1/1680450
Least Common Multiple of 850,9885 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 850,9885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,9885) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(850,9885) x common factors =5 x 1 = 5
LCM(850,9885) = ( 850 × 9885 ) / 5
LCM(850,9885) = 8402250 / 5
LCM(850,9885) = 1680450
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1242/850, 7127/9885
1. What is the HCF of 1242,7127?
The HCF of 1242,7127 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 1242/850, 7127/9885?
Answer: GCF of Numerators as per given numbers 1242/850, 7127/9885 is
GCF of Numerators i.e. for 1242,7127 is 1
LCM of denominators i.e. for 850,9885 is 1680450.
Thus, GCF of Fractions is 1/1680450.Finally, GCF of Fractions for 1242/850, 7127/9885 is 1/1680450.