GCF of 5461/766, 2562/8809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5461/766, 2562/8809 i.e 1/17618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5461/766, 2562/8809.
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 5461/766,2562/8809?
Given fractions are 5461/766,2562/8809
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 5461/766,2562/8809, numerators are 5461,2562
Denominators are 766,8809
The GCF of 5461,2562 is 1 .
LCM of 766,8809 is 17618.
The greatest common factor of 5461/766,2562/8809 = [GCF of 5461,2562]/[LCM of 766,8809]= 1/17618
Therefore, the GCF of 5461/766,2562/8809 is 1/17618.
To find the highest common factor of 5461,2562, we have to find the factors of both numbers and list the highest common factor.
The factors of 5461 are 1, 43, 127, 5461
The factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562
The HCF of 5461,2562 is 1.
Lets's calculate GCF of 5461,2562
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5461,2562 By Matching Biggest Common Factor Method
Now, list down the factors of 5461
:1,43,127,5461
Now, list down the factors of 2562
:1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562
Greatest Common Factor
We found the factors 5461,2562 . The biggest common factor number is the GCF number.
So the greatest common factor 5461,2562 is 1.
Lets's calculate LCM of 766,8809
| 383 | 766, 8809 |
| 2, 23 |
∴ So the LCM of the given numbers is 383 x 2 x 23 = 17618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17618
Therefore, the GCF of Fractions 5461/766,2562/8809 is 1/17618
Least Common Multiple of 766,8809 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 766,8809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,8809) = 383
common factors(in case of two or more numbers have common factors) = 1
GCF(766,8809) x common factors =383 x 1 = 383
LCM(766,8809) = ( 766 × 8809 ) / 383
LCM(766,8809) = 6747694 / 383
LCM(766,8809) = 17618
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FAQs on GCF of Fractions of 5461/766, 2562/8809
1. What is the HCF of 5461,2562?
The HCF of 5461,2562 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 5461/766, 2562/8809?
Answer: GCF of Numerators as per given numbers 5461/766, 2562/8809 is
GCF of Numerators i.e. for 5461,2562 is 1
LCM of denominators i.e. for 766,8809 is 17618.
Thus, GCF of Fractions is 1/17618.Finally, GCF of Fractions for 5461/766, 2562/8809 is 1/17618.