GCF of 5882/348, 8236/7626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5882/348, 8236/7626 i.e 2/442308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5882/348, 8236/7626.
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 5882/348,8236/7626?
Given fractions are 5882/348,8236/7626
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 5882/348,8236/7626, numerators are 5882,8236
Denominators are 348,7626
The GCF of 5882,8236 is 2 .
LCM of 348,7626 is 442308.
The greatest common factor of 5882/348,8236/7626 = [GCF of 5882,8236]/[LCM of 348,7626]= 2/442308
Therefore, the GCF of 5882/348,8236/7626 is 2/442308.
To find the highest common factor of 5882,8236, we have to find the factors of both numbers and list the highest common factor.
The factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882
The factors of 8236 are 1, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 8236
The HCF of 5882,8236 is 2.
Lets's calculate GCF of 5882,8236
| 2 | 5882, 8236 |
| 2941, 4118 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5882,8236 By Matching Biggest Common Factor Method
Now, list down the factors of 5882
:1,2,17,34,173,346,2941,5882
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 5882,8236 . The biggest common factor number is the GCF number.
So the greatest common factor 5882,8236 is 2.
Lets's calculate LCM of 348,7626
| 2 | 348, 7626 |
| 3 | 174, 3813 |
| 58, 1271 |
∴ So the LCM of the given numbers is 2 x 3 x 58 x 1271 = 442308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/442308
Therefore, the GCF of Fractions 5882/348,8236/7626 is 2/442308
Least Common Multiple of 348,7626 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 348,7626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,7626) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(348,7626) x common factors =6 x 1 = 6
LCM(348,7626) = ( 348 × 7626 ) / 6
LCM(348,7626) = 2653848 / 6
LCM(348,7626) = 442308
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FAQs on GCF of Fractions of 5882/348, 8236/7626
1. What is the HCF of 5882,8236?
The HCF of 5882,8236 is 2
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 5882/348, 8236/7626?
Answer: GCF of Numerators as per given numbers 5882/348, 8236/7626 is
GCF of Numerators i.e. for 5882,8236 is 2
LCM of denominators i.e. for 348,7626 is 442308.
Thus, GCF of Fractions is 2/442308.Finally, GCF of Fractions for 5882/348, 8236/7626 is 2/442308.