GCF of 1786/821, 5494/8077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1786/821, 5494/8077 i.e 2/6631217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1786/821, 5494/8077.
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 1786/821,5494/8077?
Given fractions are 1786/821,5494/8077
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 1786/821,5494/8077, numerators are 1786,5494
Denominators are 821,8077
The GCF of 1786,5494 is 2 .
LCM of 821,8077 is 6631217.
The greatest common factor of 1786/821,5494/8077 = [GCF of 1786,5494]/[LCM of 821,8077]= 2/6631217
Therefore, the GCF of 1786/821,5494/8077 is 2/6631217.
To find the highest common factor of 1786,5494, we have to find the factors of both numbers and list the highest common factor.
The factors of 1786 are 1, 2, 19, 38, 47, 94, 893, 1786
The factors of 5494 are 1, 2, 41, 67, 82, 134, 2747, 5494
The HCF of 1786,5494 is 2.
Lets's calculate GCF of 1786,5494
| 2 | 1786, 5494 |
| 893, 2747 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1786,5494 By Matching Biggest Common Factor Method
Now, list down the factors of 1786
:1,2,19,38,47,94,893,1786
Now, list down the factors of 5494
:1,2,41,67,82,134,2747,5494
Greatest Common Factor
We found the factors 1786,5494 . The biggest common factor number is the GCF number.
So the greatest common factor 1786,5494 is 2.
Lets's calculate LCM of 821,8077
Given numbers has no common factors except 1. So, there LCM is their product i.e 6631217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6631217
Therefore, the GCF of Fractions 1786/821,5494/8077 is 2/6631217
Least Common Multiple of 821,8077 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 821,8077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,8077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,8077) x common factors =1 x 1 = 1
LCM(821,8077) = ( 821 × 8077 ) / 1
LCM(821,8077) = 6631217 / 1
LCM(821,8077) = 6631217
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FAQs on GCF of Fractions of 1786/821, 5494/8077
1. What is the HCF of 1786,5494?
The HCF of 1786,5494 is 2
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 1786/821, 5494/8077?
Answer: GCF of Numerators as per given numbers 1786/821, 5494/8077 is
GCF of Numerators i.e. for 1786,5494 is 2
LCM of denominators i.e. for 821,8077 is 6631217.
Thus, GCF of Fractions is 2/6631217.Finally, GCF of Fractions for 1786/821, 5494/8077 is 2/6631217.