GCF of 3919/506, 7056/4736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3919/506, 7056/4736 i.e 1/1198208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3919/506, 7056/4736.
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 3919/506,7056/4736?
Given fractions are 3919/506,7056/4736
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 3919/506,7056/4736, numerators are 3919,7056
Denominators are 506,4736
The GCF of 3919,7056 is 1 .
LCM of 506,4736 is 1198208.
The greatest common factor of 3919/506,7056/4736 = [GCF of 3919,7056]/[LCM of 506,4736]= 1/1198208
Therefore, the GCF of 3919/506,7056/4736 is 1/1198208.
To find the highest common factor of 3919,7056, we have to find the factors of both numbers and list the highest common factor.
The factors of 3919 are 1, 3919
The factors of 7056 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056
The HCF of 3919,7056 is 1.
Lets's calculate GCF of 3919,7056
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3919,7056 By Matching Biggest Common Factor Method
Now, list down the factors of 3919
:1,3919
Now, list down the factors of 7056
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056
Greatest Common Factor
We found the factors 3919,7056 . The biggest common factor number is the GCF number.
So the greatest common factor 3919,7056 is 1.
Lets's calculate LCM of 506,4736
| 2 | 506, 4736 |
| 253, 2368 |
∴ So the LCM of the given numbers is 2 x 253 x 2368 = 1198208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1198208
Therefore, the GCF of Fractions 3919/506,7056/4736 is 1/1198208
Least Common Multiple of 506,4736 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 506,4736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,4736) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,4736) x common factors =2 x 1 = 2
LCM(506,4736) = ( 506 × 4736 ) / 2
LCM(506,4736) = 2396416 / 2
LCM(506,4736) = 1198208
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FAQs on GCF of Fractions of 3919/506, 7056/4736
1. What is the HCF of 3919,7056?
The HCF of 3919,7056 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 3919/506, 7056/4736?
Answer: GCF of Numerators as per given numbers 3919/506, 7056/4736 is
GCF of Numerators i.e. for 3919,7056 is 1
LCM of denominators i.e. for 506,4736 is 1198208.
Thus, GCF of Fractions is 1/1198208.Finally, GCF of Fractions for 3919/506, 7056/4736 is 1/1198208.