GCF of 886/807, 9023/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 886/807, 9023/276 i.e 1/74244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/807, 9023/276.
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 886/807,9023/276?
Given fractions are 886/807,9023/276
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 886/807,9023/276, numerators are 886,9023
Denominators are 807,276
The GCF of 886,9023 is 1 .
LCM of 807,276 is 74244.
The greatest common factor of 886/807,9023/276 = [GCF of 886,9023]/[LCM of 807,276]= 1/74244
Therefore, the GCF of 886/807,9023/276 is 1/74244.
To find the highest common factor of 886,9023, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 9023 are 1, 7, 1289, 9023
The HCF of 886,9023 is 1.
Lets's calculate GCF of 886,9023
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 886,9023 By Matching Biggest Common Factor Method
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 9023
:1,7,1289,9023
Greatest Common Factor
We found the factors 886,9023 . The biggest common factor number is the GCF number.
So the greatest common factor 886,9023 is 1.
Lets's calculate LCM of 807,276
| 3 | 807, 276 |
| 269, 92 |
∴ So the LCM of the given numbers is 3 x 269 x 92 = 74244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74244
Therefore, the GCF of Fractions 886/807,9023/276 is 1/74244
Least Common Multiple of 807,276 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 807,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,276) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(807,276) x common factors =3 x 1 = 3
LCM(807,276) = ( 807 × 276 ) / 3
LCM(807,276) = 222732 / 3
LCM(807,276) = 74244
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FAQs on GCF of Fractions of 886/807, 9023/276
1. What is the HCF of 886,9023?
The HCF of 886,9023 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 886/807, 9023/276?
Answer: GCF of Numerators as per given numbers 886/807, 9023/276 is
GCF of Numerators i.e. for 886,9023 is 1
LCM of denominators i.e. for 807,276 is 74244.
Thus, GCF of Fractions is 1/74244.Finally, GCF of Fractions for 886/807, 9023/276 is 1/74244.