GCF of 6912/569, 8783/970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6912/569, 8783/970 i.e 1/551930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6912/569, 8783/970.
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 6912/569,8783/970?
Given fractions are 6912/569,8783/970
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 6912/569,8783/970, numerators are 6912,8783
Denominators are 569,970
The GCF of 6912,8783 is 1 .
LCM of 569,970 is 551930.
The greatest common factor of 6912/569,8783/970 = [GCF of 6912,8783]/[LCM of 569,970]= 1/551930
Therefore, the GCF of 6912/569,8783/970 is 1/551930.
To find the highest common factor of 6912,8783, we have to find the factors of both numbers and list the highest common factor.
The factors of 6912 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 576, 768, 864, 1152, 1728, 2304, 3456, 6912
The factors of 8783 are 1, 8783
The HCF of 6912,8783 is 1.
Lets's calculate GCF of 6912,8783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6912,8783 By Matching Biggest Common Factor Method
Now, list down the factors of 6912
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912
Now, list down the factors of 8783
:1,8783
Greatest Common Factor
We found the factors 6912,8783 . The biggest common factor number is the GCF number.
So the greatest common factor 6912,8783 is 1.
Lets's calculate LCM of 569,970
Given numbers has no common factors except 1. So, there LCM is their product i.e 551930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/551930
Therefore, the GCF of Fractions 6912/569,8783/970 is 1/551930
Least Common Multiple of 569,970 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 569,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,970) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,970) x common factors =1 x 1 = 1
LCM(569,970) = ( 569 × 970 ) / 1
LCM(569,970) = 551930 / 1
LCM(569,970) = 551930
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FAQs on GCF of Fractions of 6912/569, 8783/970
1. What is the HCF of 6912,8783?
The HCF of 6912,8783 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 6912/569, 8783/970?
Answer: GCF of Numerators as per given numbers 6912/569, 8783/970 is
GCF of Numerators i.e. for 6912,8783 is 1
LCM of denominators i.e. for 569,970 is 551930.
Thus, GCF of Fractions is 1/551930.Finally, GCF of Fractions for 6912/569, 8783/970 is 1/551930.