GCF of 8749/816, 4069/4922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8749/816, 4069/4922 i.e 13/2008176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8749/816, 4069/4922.
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 8749/816,4069/4922?
Given fractions are 8749/816,4069/4922
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 8749/816,4069/4922, numerators are 8749,4069
Denominators are 816,4922
The GCF of 8749,4069 is 13 .
LCM of 816,4922 is 2008176.
The greatest common factor of 8749/816,4069/4922 = [GCF of 8749,4069]/[LCM of 816,4922]= 13/2008176
Therefore, the GCF of 8749/816,4069/4922 is 13/2008176.
To find the highest common factor of 8749,4069, we have to find the factors of both numbers and list the highest common factor.
The factors of 8749 are 1, 13, 673, 8749
The factors of 4069 are 1, 13, 313, 4069
The HCF of 8749,4069 is 13.
Lets's calculate GCF of 8749,4069
| 13 | 8749, 4069 |
| 673, 313 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 8749,4069 By Matching Biggest Common Factor Method
Now, list down the factors of 8749
:1,13,673,8749
Now, list down the factors of 4069
:1,13,313,4069
Greatest Common Factor
We found the factors 8749,4069 . The biggest common factor number is the GCF number.
So the greatest common factor 8749,4069 is 13.
Lets's calculate LCM of 816,4922
| 2 | 816, 4922 |
| 408, 2461 |
∴ So the LCM of the given numbers is 2 x 408 x 2461 = 2008176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2008176
Therefore, the GCF of Fractions 8749/816,4069/4922 is 13/2008176
Least Common Multiple of 816,4922 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 816,4922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,4922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(816,4922) x common factors =2 x 1 = 2
LCM(816,4922) = ( 816 × 4922 ) / 2
LCM(816,4922) = 4016352 / 2
LCM(816,4922) = 2008176
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FAQs on GCF of Fractions of 8749/816, 4069/4922
1. What is the HCF of 8749,4069?
The HCF of 8749,4069 is 13
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 8749/816, 4069/4922?
Answer: GCF of Numerators as per given numbers 8749/816, 4069/4922 is
GCF of Numerators i.e. for 8749,4069 is 13
LCM of denominators i.e. for 816,4922 is 2008176.
Thus, GCF of Fractions is 13/2008176.Finally, GCF of Fractions for 8749/816, 4069/4922 is 13/2008176.