GCF of 4748/684, 8376/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4748/684, 8376/419 i.e 4/286596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4748/684, 8376/419.
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 4748/684,8376/419?
Given fractions are 4748/684,8376/419
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 4748/684,8376/419, numerators are 4748,8376
Denominators are 684,419
The GCF of 4748,8376 is 4 .
LCM of 684,419 is 286596.
The greatest common factor of 4748/684,8376/419 = [GCF of 4748,8376]/[LCM of 684,419]= 4/286596
Therefore, the GCF of 4748/684,8376/419 is 4/286596.
To find the highest common factor of 4748,8376, we have to find the factors of both numbers and list the highest common factor.
The factors of 4748 are 1, 2, 4, 1187, 2374, 4748
The factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376
The HCF of 4748,8376 is 4.
Lets's calculate GCF of 4748,8376
| 2 | 4748, 8376 |
| 2 | 2374, 4188 |
| 1187, 2094 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4748,8376 By Matching Biggest Common Factor Method
Now, list down the factors of 4748
:1,2,4,1187,2374,4748
Now, list down the factors of 8376
:1,2,3,4,6,8,12,24,349,698,1047,1396,2094,2792,4188,8376
Greatest Common Factor
We found the factors 4748,8376 . The biggest common factor number is the GCF number.
So the greatest common factor 4748,8376 is 4.
Lets's calculate LCM of 684,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 286596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/286596
Therefore, the GCF of Fractions 4748/684,8376/419 is 4/286596
Least Common Multiple of 684,419 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 684,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,419) x common factors =1 x 1 = 1
LCM(684,419) = ( 684 × 419 ) / 1
LCM(684,419) = 286596 / 1
LCM(684,419) = 286596
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FAQs on GCF of Fractions of 4748/684, 8376/419
1. What is the HCF of 4748,8376?
The HCF of 4748,8376 is 4
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 4748/684, 8376/419?
Answer: GCF of Numerators as per given numbers 4748/684, 8376/419 is
GCF of Numerators i.e. for 4748,8376 is 4
LCM of denominators i.e. for 684,419 is 286596.
Thus, GCF of Fractions is 4/286596.Finally, GCF of Fractions for 4748/684, 8376/419 is 4/286596.