GCF of 4228/640, 5758/7102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4228/640, 5758/7102 i.e 2/2272640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4228/640, 5758/7102.
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 4228/640,5758/7102?
Given fractions are 4228/640,5758/7102
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 4228/640,5758/7102, numerators are 4228,5758
Denominators are 640,7102
The GCF of 4228,5758 is 2 .
LCM of 640,7102 is 2272640.
The greatest common factor of 4228/640,5758/7102 = [GCF of 4228,5758]/[LCM of 640,7102]= 2/2272640
Therefore, the GCF of 4228/640,5758/7102 is 2/2272640.
To find the highest common factor of 4228,5758, we have to find the factors of both numbers and list the highest common factor.
The factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228
The factors of 5758 are 1, 2, 2879, 5758
The HCF of 4228,5758 is 2.
Lets's calculate GCF of 4228,5758
| 2 | 4228, 5758 |
| 2114, 2879 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4228,5758 By Matching Biggest Common Factor Method
Now, list down the factors of 4228
:1,2,4,7,14,28,151,302,604,1057,2114,4228
Now, list down the factors of 5758
:1,2,2879,5758
Greatest Common Factor
We found the factors 4228,5758 . The biggest common factor number is the GCF number.
So the greatest common factor 4228,5758 is 2.
Lets's calculate LCM of 640,7102
| 2 | 640, 7102 |
| 320, 3551 |
∴ So the LCM of the given numbers is 2 x 320 x 3551 = 2272640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2272640
Therefore, the GCF of Fractions 4228/640,5758/7102 is 2/2272640
Least Common Multiple of 640,7102 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 640,7102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,7102) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(640,7102) x common factors =2 x 1 = 2
LCM(640,7102) = ( 640 × 7102 ) / 2
LCM(640,7102) = 4545280 / 2
LCM(640,7102) = 2272640
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FAQs on GCF of Fractions of 4228/640, 5758/7102
1. What is the HCF of 4228,5758?
The HCF of 4228,5758 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 4228/640, 5758/7102?
Answer: GCF of Numerators as per given numbers 4228/640, 5758/7102 is
GCF of Numerators i.e. for 4228,5758 is 2
LCM of denominators i.e. for 640,7102 is 2272640.
Thus, GCF of Fractions is 2/2272640.Finally, GCF of Fractions for 4228/640, 5758/7102 is 2/2272640.