GCF of 4540/643, 6174/860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4540/643, 6174/860 i.e 2/552980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4540/643, 6174/860.
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 4540/643,6174/860?
Given fractions are 4540/643,6174/860
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 4540/643,6174/860, numerators are 4540,6174
Denominators are 643,860
The GCF of 4540,6174 is 2 .
LCM of 643,860 is 552980.
The greatest common factor of 4540/643,6174/860 = [GCF of 4540,6174]/[LCM of 643,860]= 2/552980
Therefore, the GCF of 4540/643,6174/860 is 2/552980.
To find the highest common factor of 4540,6174, we have to find the factors of both numbers and list the highest common factor.
The factors of 4540 are 1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540
The factors of 6174 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174
The HCF of 4540,6174 is 2.
Lets's calculate GCF of 4540,6174
| 2 | 4540, 6174 |
| 2270, 3087 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4540,6174 By Matching Biggest Common Factor Method
Now, list down the factors of 4540
:1,2,4,5,10,20,227,454,908,1135,2270,4540
Now, list down the factors of 6174
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,343,441,686,882,1029,2058,3087,6174
Greatest Common Factor
We found the factors 4540,6174 . The biggest common factor number is the GCF number.
So the greatest common factor 4540,6174 is 2.
Lets's calculate LCM of 643,860
Given numbers has no common factors except 1. So, there LCM is their product i.e 552980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/552980
Therefore, the GCF of Fractions 4540/643,6174/860 is 2/552980
Least Common Multiple of 643,860 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 643,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,860) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,860) x common factors =1 x 1 = 1
LCM(643,860) = ( 643 × 860 ) / 1
LCM(643,860) = 552980 / 1
LCM(643,860) = 552980
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FAQs on GCF of Fractions of 4540/643, 6174/860
1. What is the HCF of 4540,6174?
The HCF of 4540,6174 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 4540/643, 6174/860?
Answer: GCF of Numerators as per given numbers 4540/643, 6174/860 is
GCF of Numerators i.e. for 4540,6174 is 2
LCM of denominators i.e. for 643,860 is 552980.
Thus, GCF of Fractions is 2/552980.Finally, GCF of Fractions for 4540/643, 6174/860 is 2/552980.