GCF of 4408/921, 8236/2508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4408/921, 8236/2508 i.e 116/769956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4408/921, 8236/2508.
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 4408/921,8236/2508?
Given fractions are 4408/921,8236/2508
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 4408/921,8236/2508, numerators are 4408,8236
Denominators are 921,2508
The GCF of 4408,8236 is 116 .
LCM of 921,2508 is 769956.
The greatest common factor of 4408/921,8236/2508 = [GCF of 4408,8236]/[LCM of 921,2508]= 116/769956
Therefore, the GCF of 4408/921,8236/2508 is 116/769956.
To find the highest common factor of 4408,8236, we have to find the factors of both numbers and list the highest common factor.
The factors of 4408 are 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408
The factors of 8236 are 1, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 8236
The HCF of 4408,8236 is 116.
Lets's calculate GCF of 4408,8236
| 2 | 4408, 8236 |
| 2 | 2204, 4118 |
| 29 | 1102, 2059 |
| 38, 71 |
∴ So the GCF of the given numbers is 2 x 2 x 29 = 116
Greatest Common Factor of 4408,8236 By Matching Biggest Common Factor Method
Now, list down the factors of 4408
:1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408
Now, list down the factors of 8236
:1,2,4,29,58,71,116,142,284,2059,4118,8236
Greatest Common Factor
We found the factors 4408,8236 . The biggest common factor number is the GCF number.
So the greatest common factor 4408,8236 is 116.
Lets's calculate LCM of 921,2508
| 3 | 921, 2508 |
| 307, 836 |
∴ So the LCM of the given numbers is 3 x 307 x 836 = 769956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/769956
Therefore, the GCF of Fractions 4408/921,8236/2508 is 116/769956
Least Common Multiple of 921,2508 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 921,2508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,2508) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,2508) x common factors =3 x 1 = 3
LCM(921,2508) = ( 921 × 2508 ) / 3
LCM(921,2508) = 2309868 / 3
LCM(921,2508) = 769956
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FAQs on GCF of Fractions of 4408/921, 8236/2508
1. What is the HCF of 4408,8236?
The HCF of 4408,8236 is 116
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 4408/921, 8236/2508?
Answer: GCF of Numerators as per given numbers 4408/921, 8236/2508 is
GCF of Numerators i.e. for 4408,8236 is 116
LCM of denominators i.e. for 921,2508 is 769956.
Thus, GCF of Fractions is 116/769956.Finally, GCF of Fractions for 4408/921, 8236/2508 is 116/769956.