GCF of 4072/19, 4656/753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4072/19, 4656/753 i.e 8/14307 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4072/19, 4656/753.
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 4072/19,4656/753?
Given fractions are 4072/19,4656/753
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 4072/19,4656/753, numerators are 4072,4656
Denominators are 19,753
The GCF of 4072,4656 is 8 .
LCM of 19,753 is 14307.
The greatest common factor of 4072/19,4656/753 = [GCF of 4072,4656]/[LCM of 19,753]= 8/14307
Therefore, the GCF of 4072/19,4656/753 is 8/14307.
To find the highest common factor of 4072,4656, we have to find the factors of both numbers and list the highest common factor.
The factors of 4072 are 1, 2, 4, 8, 509, 1018, 2036, 4072
The factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656
The HCF of 4072,4656 is 8.
Lets's calculate GCF of 4072,4656
| 2 | 4072, 4656 |
| 2 | 2036, 2328 |
| 2 | 1018, 1164 |
| 509, 582 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4072,4656 By Matching Biggest Common Factor Method
Now, list down the factors of 4072
:1,2,4,8,509,1018,2036,4072
Now, list down the factors of 4656
:1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656
Greatest Common Factor
We found the factors 4072,4656 . The biggest common factor number is the GCF number.
So the greatest common factor 4072,4656 is 8.
Lets's calculate LCM of 19,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 14307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/14307
Therefore, the GCF of Fractions 4072/19,4656/753 is 8/14307
Least Common Multiple of 19,753 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 19,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,753) x common factors =1 x 1 = 1
LCM(19,753) = ( 19 × 753 ) / 1
LCM(19,753) = 14307 / 1
LCM(19,753) = 14307
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FAQs on GCF of Fractions of 4072/19, 4656/753
1. What is the HCF of 4072,4656?
The HCF of 4072,4656 is 8
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 4072/19, 4656/753?
Answer: GCF of Numerators as per given numbers 4072/19, 4656/753 is
GCF of Numerators i.e. for 4072,4656 is 8
LCM of denominators i.e. for 19,753 is 14307.
Thus, GCF of Fractions is 8/14307.Finally, GCF of Fractions for 4072/19, 4656/753 is 8/14307.