GCF of 5678/671, 7032/1672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5678/671, 7032/1672 i.e 2/101992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5678/671, 7032/1672.
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 5678/671,7032/1672?
Given fractions are 5678/671,7032/1672
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 5678/671,7032/1672, numerators are 5678,7032
Denominators are 671,1672
The GCF of 5678,7032 is 2 .
LCM of 671,1672 is 101992.
The greatest common factor of 5678/671,7032/1672 = [GCF of 5678,7032]/[LCM of 671,1672]= 2/101992
Therefore, the GCF of 5678/671,7032/1672 is 2/101992.
To find the highest common factor of 5678,7032, we have to find the factors of both numbers and list the highest common factor.
The factors of 5678 are 1, 2, 17, 34, 167, 334, 2839, 5678
The factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032
The HCF of 5678,7032 is 2.
Lets's calculate GCF of 5678,7032
| 2 | 5678, 7032 |
| 2839, 3516 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5678,7032 By Matching Biggest Common Factor Method
Now, list down the factors of 5678
:1,2,17,34,167,334,2839,5678
Now, list down the factors of 7032
:1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032
Greatest Common Factor
We found the factors 5678,7032 . The biggest common factor number is the GCF number.
So the greatest common factor 5678,7032 is 2.
Lets's calculate LCM of 671,1672
| 11 | 671, 1672 |
| 61, 152 |
∴ So the LCM of the given numbers is 11 x 61 x 152 = 101992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/101992
Therefore, the GCF of Fractions 5678/671,7032/1672 is 2/101992
Least Common Multiple of 671,1672 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 671,1672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,1672) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(671,1672) x common factors =11 x 1 = 11
LCM(671,1672) = ( 671 × 1672 ) / 11
LCM(671,1672) = 1121912 / 11
LCM(671,1672) = 101992
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FAQs on GCF of Fractions of 5678/671, 7032/1672
1. What is the HCF of 5678,7032?
The HCF of 5678,7032 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 5678/671, 7032/1672?
Answer: GCF of Numerators as per given numbers 5678/671, 7032/1672 is
GCF of Numerators i.e. for 5678,7032 is 2
LCM of denominators i.e. for 671,1672 is 101992.
Thus, GCF of Fractions is 2/101992.Finally, GCF of Fractions for 5678/671, 7032/1672 is 2/101992.