GCF of 5622/774, 8531/4882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5622/774, 8531/4882 i.e 1/1889334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5622/774, 8531/4882.
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 5622/774,8531/4882?
Given fractions are 5622/774,8531/4882
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 5622/774,8531/4882, numerators are 5622,8531
Denominators are 774,4882
The GCF of 5622,8531 is 1 .
LCM of 774,4882 is 1889334.
The greatest common factor of 5622/774,8531/4882 = [GCF of 5622,8531]/[LCM of 774,4882]= 1/1889334
Therefore, the GCF of 5622/774,8531/4882 is 1/1889334.
To find the highest common factor of 5622,8531, we have to find the factors of both numbers and list the highest common factor.
The factors of 5622 are 1, 2, 3, 6, 937, 1874, 2811, 5622
The factors of 8531 are 1, 19, 449, 8531
The HCF of 5622,8531 is 1.
Lets's calculate GCF of 5622,8531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5622,8531 By Matching Biggest Common Factor Method
Now, list down the factors of 5622
:1,2,3,6,937,1874,2811,5622
Now, list down the factors of 8531
:1,19,449,8531
Greatest Common Factor
We found the factors 5622,8531 . The biggest common factor number is the GCF number.
So the greatest common factor 5622,8531 is 1.
Lets's calculate LCM of 774,4882
| 2 | 774, 4882 |
| 387, 2441 |
∴ So the LCM of the given numbers is 2 x 387 x 2441 = 1889334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1889334
Therefore, the GCF of Fractions 5622/774,8531/4882 is 1/1889334
Least Common Multiple of 774,4882 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 774,4882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,4882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,4882) x common factors =2 x 1 = 2
LCM(774,4882) = ( 774 × 4882 ) / 2
LCM(774,4882) = 3778668 / 2
LCM(774,4882) = 1889334
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FAQs on GCF of Fractions of 5622/774, 8531/4882
1. What is the HCF of 5622,8531?
The HCF of 5622,8531 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 5622/774, 8531/4882?
Answer: GCF of Numerators as per given numbers 5622/774, 8531/4882 is
GCF of Numerators i.e. for 5622,8531 is 1
LCM of denominators i.e. for 774,4882 is 1889334.
Thus, GCF of Fractions is 1/1889334.Finally, GCF of Fractions for 5622/774, 8531/4882 is 1/1889334.