GCF of 4210/647, 5328/1759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4210/647, 5328/1759 i.e 2/1138073 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4210/647, 5328/1759.
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 4210/647,5328/1759?
Given fractions are 4210/647,5328/1759
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 4210/647,5328/1759, numerators are 4210,5328
Denominators are 647,1759
The GCF of 4210,5328 is 2 .
LCM of 647,1759 is 1138073.
The greatest common factor of 4210/647,5328/1759 = [GCF of 4210,5328]/[LCM of 647,1759]= 2/1138073
Therefore, the GCF of 4210/647,5328/1759 is 2/1138073.
To find the highest common factor of 4210,5328, we have to find the factors of both numbers and list the highest common factor.
The factors of 4210 are 1, 2, 5, 10, 421, 842, 2105, 4210
The factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328
The HCF of 4210,5328 is 2.
Lets's calculate GCF of 4210,5328
| 2 | 4210, 5328 |
| 2105, 2664 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4210,5328 By Matching Biggest Common Factor Method
Now, list down the factors of 4210
:1,2,5,10,421,842,2105,4210
Now, list down the factors of 5328
:1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328
Greatest Common Factor
We found the factors 4210,5328 . The biggest common factor number is the GCF number.
So the greatest common factor 4210,5328 is 2.
Lets's calculate LCM of 647,1759
Given numbers has no common factors except 1. So, there LCM is their product i.e 1138073
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1138073
Therefore, the GCF of Fractions 4210/647,5328/1759 is 2/1138073
Least Common Multiple of 647,1759 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 647,1759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,1759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,1759) x common factors =1 x 1 = 1
LCM(647,1759) = ( 647 × 1759 ) / 1
LCM(647,1759) = 1138073 / 1
LCM(647,1759) = 1138073
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FAQs on GCF of Fractions of 4210/647, 5328/1759
1. What is the HCF of 4210,5328?
The HCF of 4210,5328 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 4210/647, 5328/1759?
Answer: GCF of Numerators as per given numbers 4210/647, 5328/1759 is
GCF of Numerators i.e. for 4210,5328 is 2
LCM of denominators i.e. for 647,1759 is 1138073.
Thus, GCF of Fractions is 2/1138073.Finally, GCF of Fractions for 4210/647, 5328/1759 is 2/1138073.