GCF of 3136/602, 4658/1963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3136/602, 4658/1963 i.e 2/1181726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3136/602, 4658/1963.
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 3136/602,4658/1963?
Given fractions are 3136/602,4658/1963
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 3136/602,4658/1963, numerators are 3136,4658
Denominators are 602,1963
The GCF of 3136,4658 is 2 .
LCM of 602,1963 is 1181726.
The greatest common factor of 3136/602,4658/1963 = [GCF of 3136,4658]/[LCM of 602,1963]= 2/1181726
Therefore, the GCF of 3136/602,4658/1963 is 2/1181726.
To find the highest common factor of 3136,4658, we have to find the factors of both numbers and list the highest common factor.
The factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136
The factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658
The HCF of 3136,4658 is 2.
Lets's calculate GCF of 3136,4658
| 2 | 3136, 4658 |
| 1568, 2329 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3136,4658 By Matching Biggest Common Factor Method
Now, list down the factors of 3136
:1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136
Now, list down the factors of 4658
:1,2,17,34,137,274,2329,4658
Greatest Common Factor
We found the factors 3136,4658 . The biggest common factor number is the GCF number.
So the greatest common factor 3136,4658 is 2.
Lets's calculate LCM of 602,1963
Given numbers has no common factors except 1. So, there LCM is their product i.e 1181726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1181726
Therefore, the GCF of Fractions 3136/602,4658/1963 is 2/1181726
Least Common Multiple of 602,1963 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 602,1963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,1963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(602,1963) x common factors =1 x 1 = 1
LCM(602,1963) = ( 602 × 1963 ) / 1
LCM(602,1963) = 1181726 / 1
LCM(602,1963) = 1181726
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FAQs on GCF of Fractions of 3136/602, 4658/1963
1. What is the HCF of 3136,4658?
The HCF of 3136,4658 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 3136/602, 4658/1963?
Answer: GCF of Numerators as per given numbers 3136/602, 4658/1963 is
GCF of Numerators i.e. for 3136,4658 is 2
LCM of denominators i.e. for 602,1963 is 1181726.
Thus, GCF of Fractions is 2/1181726.Finally, GCF of Fractions for 3136/602, 4658/1963 is 2/1181726.