GCF of 4429/828, 3562/2918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4429/828, 3562/2918 i.e 1/1208052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4429/828, 3562/2918.
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 4429/828,3562/2918?
Given fractions are 4429/828,3562/2918
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 4429/828,3562/2918, numerators are 4429,3562
Denominators are 828,2918
The GCF of 4429,3562 is 1 .
LCM of 828,2918 is 1208052.
The greatest common factor of 4429/828,3562/2918 = [GCF of 4429,3562]/[LCM of 828,2918]= 1/1208052
Therefore, the GCF of 4429/828,3562/2918 is 1/1208052.
To find the highest common factor of 4429,3562, we have to find the factors of both numbers and list the highest common factor.
The factors of 4429 are 1, 43, 103, 4429
The factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562
The HCF of 4429,3562 is 1.
Lets's calculate GCF of 4429,3562
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4429,3562 By Matching Biggest Common Factor Method
Now, list down the factors of 4429
:1,43,103,4429
Now, list down the factors of 3562
:1,2,13,26,137,274,1781,3562
Greatest Common Factor
We found the factors 4429,3562 . The biggest common factor number is the GCF number.
So the greatest common factor 4429,3562 is 1.
Lets's calculate LCM of 828,2918
| 2 | 828, 2918 |
| 414, 1459 |
∴ So the LCM of the given numbers is 2 x 414 x 1459 = 1208052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1208052
Therefore, the GCF of Fractions 4429/828,3562/2918 is 1/1208052
Least Common Multiple of 828,2918 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 828,2918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,2918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(828,2918) x common factors =2 x 1 = 2
LCM(828,2918) = ( 828 × 2918 ) / 2
LCM(828,2918) = 2416104 / 2
LCM(828,2918) = 1208052
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FAQs on GCF of Fractions of 4429/828, 3562/2918
1. What is the HCF of 4429,3562?
The HCF of 4429,3562 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 4429/828, 3562/2918?
Answer: GCF of Numerators as per given numbers 4429/828, 3562/2918 is
GCF of Numerators i.e. for 4429,3562 is 1
LCM of denominators i.e. for 828,2918 is 1208052.
Thus, GCF of Fractions is 1/1208052.Finally, GCF of Fractions for 4429/828, 3562/2918 is 1/1208052.