GCF of 5403/837, 7764/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5403/837, 7764/209 i.e 3/174933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5403/837, 7764/209.
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 5403/837,7764/209?
Given fractions are 5403/837,7764/209
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 5403/837,7764/209, numerators are 5403,7764
Denominators are 837,209
The GCF of 5403,7764 is 3 .
LCM of 837,209 is 174933.
The greatest common factor of 5403/837,7764/209 = [GCF of 5403,7764]/[LCM of 837,209]= 3/174933
Therefore, the GCF of 5403/837,7764/209 is 3/174933.
To find the highest common factor of 5403,7764, we have to find the factors of both numbers and list the highest common factor.
The factors of 5403 are 1, 3, 1801, 5403
The factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764
The HCF of 5403,7764 is 3.
Lets's calculate GCF of 5403,7764
| 3 | 5403, 7764 |
| 1801, 2588 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5403,7764 By Matching Biggest Common Factor Method
Now, list down the factors of 5403
:1,3,1801,5403
Now, list down the factors of 7764
:1,2,3,4,6,12,647,1294,1941,2588,3882,7764
Greatest Common Factor
We found the factors 5403,7764 . The biggest common factor number is the GCF number.
So the greatest common factor 5403,7764 is 3.
Lets's calculate LCM of 837,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 174933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/174933
Therefore, the GCF of Fractions 5403/837,7764/209 is 3/174933
Least Common Multiple of 837,209 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 837,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,209) x common factors =1 x 1 = 1
LCM(837,209) = ( 837 × 209 ) / 1
LCM(837,209) = 174933 / 1
LCM(837,209) = 174933
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FAQs on GCF of Fractions of 5403/837, 7764/209
1. What is the HCF of 5403,7764?
The HCF of 5403,7764 is 3
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 5403/837, 7764/209?
Answer: GCF of Numerators as per given numbers 5403/837, 7764/209 is
GCF of Numerators i.e. for 5403,7764 is 3
LCM of denominators i.e. for 837,209 is 174933.
Thus, GCF of Fractions is 3/174933.Finally, GCF of Fractions for 5403/837, 7764/209 is 3/174933.