GCF of 4956/454, 9688/6043
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4956/454, 9688/6043 i.e 28/2743522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4956/454, 9688/6043.
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 4956/454,9688/6043?
Given fractions are 4956/454,9688/6043
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 4956/454,9688/6043, numerators are 4956,9688
Denominators are 454,6043
The GCF of 4956,9688 is 28 .
LCM of 454,6043 is 2743522.
The greatest common factor of 4956/454,9688/6043 = [GCF of 4956,9688]/[LCM of 454,6043]= 28/2743522
Therefore, the GCF of 4956/454,9688/6043 is 28/2743522.
To find the highest common factor of 4956,9688, we have to find the factors of both numbers and list the highest common factor.
The factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956
The factors of 9688 are 1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844, 9688
The HCF of 4956,9688 is 28.
Lets's calculate GCF of 4956,9688
| 2 | 4956, 9688 |
| 2 | 2478, 4844 |
| 7 | 1239, 2422 |
| 177, 346 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 4956,9688 By Matching Biggest Common Factor Method
Now, list down the factors of 4956
:1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956
Now, list down the factors of 9688
:1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688
Greatest Common Factor
We found the factors 4956,9688 . The biggest common factor number is the GCF number.
So the greatest common factor 4956,9688 is 28.
Lets's calculate LCM of 454,6043
Given numbers has no common factors except 1. So, there LCM is their product i.e 2743522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/2743522
Therefore, the GCF of Fractions 4956/454,9688/6043 is 28/2743522
Least Common Multiple of 454,6043 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 454,6043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,6043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,6043) x common factors =1 x 1 = 1
LCM(454,6043) = ( 454 × 6043 ) / 1
LCM(454,6043) = 2743522 / 1
LCM(454,6043) = 2743522
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FAQs on GCF of Fractions of 4956/454, 9688/6043
1. What is the HCF of 4956,9688?
The HCF of 4956,9688 is 28
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 4956/454, 9688/6043?
Answer: GCF of Numerators as per given numbers 4956/454, 9688/6043 is
GCF of Numerators i.e. for 4956,9688 is 28
LCM of denominators i.e. for 454,6043 is 2743522.
Thus, GCF of Fractions is 28/2743522.Finally, GCF of Fractions for 4956/454, 9688/6043 is 28/2743522.