GCF of 4777/826, 3748/5284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4777/826, 3748/5284 i.e 1/2182292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4777/826, 3748/5284.
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 4777/826,3748/5284?
Given fractions are 4777/826,3748/5284
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 4777/826,3748/5284, numerators are 4777,3748
Denominators are 826,5284
The GCF of 4777,3748 is 1 .
LCM of 826,5284 is 2182292.
The greatest common factor of 4777/826,3748/5284 = [GCF of 4777,3748]/[LCM of 826,5284]= 1/2182292
Therefore, the GCF of 4777/826,3748/5284 is 1/2182292.
To find the highest common factor of 4777,3748, we have to find the factors of both numbers and list the highest common factor.
The factors of 4777 are 1, 17, 281, 4777
The factors of 3748 are 1, 2, 4, 937, 1874, 3748
The HCF of 4777,3748 is 1.
Lets's calculate GCF of 4777,3748
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4777,3748 By Matching Biggest Common Factor Method
Now, list down the factors of 4777
:1,17,281,4777
Now, list down the factors of 3748
:1,2,4,937,1874,3748
Greatest Common Factor
We found the factors 4777,3748 . The biggest common factor number is the GCF number.
So the greatest common factor 4777,3748 is 1.
Lets's calculate LCM of 826,5284
| 2 | 826, 5284 |
| 413, 2642 |
∴ So the LCM of the given numbers is 2 x 413 x 2642 = 2182292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2182292
Therefore, the GCF of Fractions 4777/826,3748/5284 is 1/2182292
Least Common Multiple of 826,5284 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 826,5284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,5284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,5284) x common factors =2 x 1 = 2
LCM(826,5284) = ( 826 × 5284 ) / 2
LCM(826,5284) = 4364584 / 2
LCM(826,5284) = 2182292
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FAQs on GCF of Fractions of 4777/826, 3748/5284
1. What is the HCF of 4777,3748?
The HCF of 4777,3748 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 4777/826, 3748/5284?
Answer: GCF of Numerators as per given numbers 4777/826, 3748/5284 is
GCF of Numerators i.e. for 4777,3748 is 1
LCM of denominators i.e. for 826,5284 is 2182292.
Thus, GCF of Fractions is 1/2182292.Finally, GCF of Fractions for 4777/826, 3748/5284 is 1/2182292.