GCF of 4711/640, 5868/482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4711/640, 5868/482 i.e 1/154240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4711/640, 5868/482.
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 4711/640,5868/482?
Given fractions are 4711/640,5868/482
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 4711/640,5868/482, numerators are 4711,5868
Denominators are 640,482
The GCF of 4711,5868 is 1 .
LCM of 640,482 is 154240.
The greatest common factor of 4711/640,5868/482 = [GCF of 4711,5868]/[LCM of 640,482]= 1/154240
Therefore, the GCF of 4711/640,5868/482 is 1/154240.
To find the highest common factor of 4711,5868, we have to find the factors of both numbers and list the highest common factor.
The factors of 4711 are 1, 7, 673, 4711
The factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868
The HCF of 4711,5868 is 1.
Lets's calculate GCF of 4711,5868
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4711,5868 By Matching Biggest Common Factor Method
Now, list down the factors of 4711
:1,7,673,4711
Now, list down the factors of 5868
:1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868
Greatest Common Factor
We found the factors 4711,5868 . The biggest common factor number is the GCF number.
So the greatest common factor 4711,5868 is 1.
Lets's calculate LCM of 640,482
| 2 | 640, 482 |
| 320, 241 |
∴ So the LCM of the given numbers is 2 x 320 x 241 = 154240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154240
Therefore, the GCF of Fractions 4711/640,5868/482 is 1/154240
Least Common Multiple of 640,482 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 640,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(640,482) x common factors =2 x 1 = 2
LCM(640,482) = ( 640 × 482 ) / 2
LCM(640,482) = 308480 / 2
LCM(640,482) = 154240
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FAQs on GCF of Fractions of 4711/640, 5868/482
1. What is the HCF of 4711,5868?
The HCF of 4711,5868 is 1
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 4711/640, 5868/482?
Answer: GCF of Numerators as per given numbers 4711/640, 5868/482 is
GCF of Numerators i.e. for 4711,5868 is 1
LCM of denominators i.e. for 640,482 is 154240.
Thus, GCF of Fractions is 1/154240.Finally, GCF of Fractions for 4711/640, 5868/482 is 1/154240.