GCF of 1769/867, 2816/6648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1769/867, 2816/6648 i.e 1/1921272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1769/867, 2816/6648.
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 1769/867,2816/6648?
Given fractions are 1769/867,2816/6648
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 1769/867,2816/6648, numerators are 1769,2816
Denominators are 867,6648
The GCF of 1769,2816 is 1 .
LCM of 867,6648 is 1921272.
The greatest common factor of 1769/867,2816/6648 = [GCF of 1769,2816]/[LCM of 867,6648]= 1/1921272
Therefore, the GCF of 1769/867,2816/6648 is 1/1921272.
To find the highest common factor of 1769,2816, we have to find the factors of both numbers and list the highest common factor.
The factors of 1769 are 1, 29, 61, 1769
The factors of 2816 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816
The HCF of 1769,2816 is 1.
Lets's calculate GCF of 1769,2816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1769,2816 By Matching Biggest Common Factor Method
Now, list down the factors of 1769
:1,29,61,1769
Now, list down the factors of 2816
:1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,704,1408,2816
Greatest Common Factor
We found the factors 1769,2816 . The biggest common factor number is the GCF number.
So the greatest common factor 1769,2816 is 1.
Lets's calculate LCM of 867,6648
| 3 | 867, 6648 |
| 289, 2216 |
∴ So the LCM of the given numbers is 3 x 289 x 2216 = 1921272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1921272
Therefore, the GCF of Fractions 1769/867,2816/6648 is 1/1921272
Least Common Multiple of 867,6648 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 867,6648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,6648) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,6648) x common factors =3 x 1 = 3
LCM(867,6648) = ( 867 × 6648 ) / 3
LCM(867,6648) = 5763816 / 3
LCM(867,6648) = 1921272
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FAQs on GCF of Fractions of 1769/867, 2816/6648
1. What is the HCF of 1769,2816?
The HCF of 1769,2816 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 1769/867, 2816/6648?
Answer: GCF of Numerators as per given numbers 1769/867, 2816/6648 is
GCF of Numerators i.e. for 1769,2816 is 1
LCM of denominators i.e. for 867,6648 is 1921272.
Thus, GCF of Fractions is 1/1921272.Finally, GCF of Fractions for 1769/867, 2816/6648 is 1/1921272.