GCF of 8930/282, 5683/6800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8930/282, 5683/6800 i.e 1/958800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8930/282, 5683/6800.
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 8930/282,5683/6800?
Given fractions are 8930/282,5683/6800
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 8930/282,5683/6800, numerators are 8930,5683
Denominators are 282,6800
The GCF of 8930,5683 is 1 .
LCM of 282,6800 is 958800.
The greatest common factor of 8930/282,5683/6800 = [GCF of 8930,5683]/[LCM of 282,6800]= 1/958800
Therefore, the GCF of 8930/282,5683/6800 is 1/958800.
To find the highest common factor of 8930,5683, we have to find the factors of both numbers and list the highest common factor.
The factors of 8930 are 1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930
The factors of 5683 are 1, 5683
The HCF of 8930,5683 is 1.
Lets's calculate GCF of 8930,5683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8930,5683 By Matching Biggest Common Factor Method
Now, list down the factors of 8930
:1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930
Now, list down the factors of 5683
:1,5683
Greatest Common Factor
We found the factors 8930,5683 . The biggest common factor number is the GCF number.
So the greatest common factor 8930,5683 is 1.
Lets's calculate LCM of 282,6800
| 2 | 282, 6800 |
| 141, 3400 |
∴ So the LCM of the given numbers is 2 x 141 x 3400 = 958800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/958800
Therefore, the GCF of Fractions 8930/282,5683/6800 is 1/958800
Least Common Multiple of 282,6800 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 282,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,6800) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,6800) x common factors =2 x 1 = 2
LCM(282,6800) = ( 282 × 6800 ) / 2
LCM(282,6800) = 1917600 / 2
LCM(282,6800) = 958800
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FAQs on GCF of Fractions of 8930/282, 5683/6800
1. What is the HCF of 8930,5683?
The HCF of 8930,5683 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 8930/282, 5683/6800?
Answer: GCF of Numerators as per given numbers 8930/282, 5683/6800 is
GCF of Numerators i.e. for 8930,5683 is 1
LCM of denominators i.e. for 282,6800 is 958800.
Thus, GCF of Fractions is 1/958800.Finally, GCF of Fractions for 8930/282, 5683/6800 is 1/958800.