GCF of 247/69, 876/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 247/69, 876/900 i.e 1/20700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 247/69, 876/900.
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 247/69,876/900?
Given fractions are 247/69,876/900
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 247/69,876/900, numerators are 247,876
Denominators are 69,900
The GCF of 247,876 is 1 .
LCM of 69,900 is 20700.
The greatest common factor of 247/69,876/900 = [GCF of 247,876]/[LCM of 69,900]= 1/20700
Therefore, the GCF of 247/69,876/900 is 1/20700.
To find the highest common factor of 247,876, we have to find the factors of both numbers and list the highest common factor.
The factors of 247 are 1, 13, 19, 247
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The HCF of 247,876 is 1.
Lets's calculate GCF of 247,876
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 247,876 By Matching Biggest Common Factor Method
Now, list down the factors of 247
:1,13,19,247
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 247,876 . The biggest common factor number is the GCF number.
So the greatest common factor 247,876 is 1.
Lets's calculate LCM of 69,900
| 3 | 69, 900 |
| 23, 300 |
∴ So the LCM of the given numbers is 3 x 23 x 300 = 20700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20700
Therefore, the GCF of Fractions 247/69,876/900 is 1/20700
Least Common Multiple of 69,900 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 69,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,900) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,900) x common factors =3 x 1 = 3
LCM(69,900) = ( 69 × 900 ) / 3
LCM(69,900) = 62100 / 3
LCM(69,900) = 20700
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FAQs on GCF of Fractions of 247/69, 876/900
1. What is the HCF of 247,876?
The HCF of 247,876 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 247/69, 876/900?
Answer: GCF of Numerators as per given numbers 247/69, 876/900 is
GCF of Numerators i.e. for 247,876 is 1
LCM of denominators i.e. for 69,900 is 20700.
Thus, GCF of Fractions is 1/20700.Finally, GCF of Fractions for 247/69, 876/900 is 1/20700.