GCF of 4716/931, 3436/6458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4716/931, 3436/6458 i.e 4/6012398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4716/931, 3436/6458.
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 4716/931,3436/6458?
Given fractions are 4716/931,3436/6458
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 4716/931,3436/6458, numerators are 4716,3436
Denominators are 931,6458
The GCF of 4716,3436 is 4 .
LCM of 931,6458 is 6012398.
The greatest common factor of 4716/931,3436/6458 = [GCF of 4716,3436]/[LCM of 931,6458]= 4/6012398
Therefore, the GCF of 4716/931,3436/6458 is 4/6012398.
To find the highest common factor of 4716,3436, we have to find the factors of both numbers and list the highest common factor.
The factors of 4716 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716
The factors of 3436 are 1, 2, 4, 859, 1718, 3436
The HCF of 4716,3436 is 4.
Lets's calculate GCF of 4716,3436
| 2 | 4716, 3436 |
| 2 | 2358, 1718 |
| 1179, 859 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4716,3436 By Matching Biggest Common Factor Method
Now, list down the factors of 4716
:1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716
Now, list down the factors of 3436
:1,2,4,859,1718,3436
Greatest Common Factor
We found the factors 4716,3436 . The biggest common factor number is the GCF number.
So the greatest common factor 4716,3436 is 4.
Lets's calculate LCM of 931,6458
Given numbers has no common factors except 1. So, there LCM is their product i.e 6012398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6012398
Therefore, the GCF of Fractions 4716/931,3436/6458 is 4/6012398
Least Common Multiple of 931,6458 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 931,6458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,6458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,6458) x common factors =1 x 1 = 1
LCM(931,6458) = ( 931 × 6458 ) / 1
LCM(931,6458) = 6012398 / 1
LCM(931,6458) = 6012398
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FAQs on GCF of Fractions of 4716/931, 3436/6458
1. What is the HCF of 4716,3436?
The HCF of 4716,3436 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 4716/931, 3436/6458?
Answer: GCF of Numerators as per given numbers 4716/931, 3436/6458 is
GCF of Numerators i.e. for 4716,3436 is 4
LCM of denominators i.e. for 931,6458 is 6012398.
Thus, GCF of Fractions is 4/6012398.Finally, GCF of Fractions for 4716/931, 3436/6458 is 4/6012398.