GCF of 1156/531, 6292/993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1156/531, 6292/993 i.e 4/175761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1156/531, 6292/993.
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 1156/531,6292/993?
Given fractions are 1156/531,6292/993
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 1156/531,6292/993, numerators are 1156,6292
Denominators are 531,993
The GCF of 1156,6292 is 4 .
LCM of 531,993 is 175761.
The greatest common factor of 1156/531,6292/993 = [GCF of 1156,6292]/[LCM of 531,993]= 4/175761
Therefore, the GCF of 1156/531,6292/993 is 4/175761.
To find the highest common factor of 1156,6292, we have to find the factors of both numbers and list the highest common factor.
The factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156
The factors of 6292 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292
The HCF of 1156,6292 is 4.
Lets's calculate GCF of 1156,6292
| 2 | 1156, 6292 |
| 2 | 578, 3146 |
| 289, 1573 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1156,6292 By Matching Biggest Common Factor Method
Now, list down the factors of 1156
:1,2,4,17,34,68,289,578,1156
Now, list down the factors of 6292
:1,2,4,11,13,22,26,44,52,121,143,242,286,484,572,1573,3146,6292
Greatest Common Factor
We found the factors 1156,6292 . The biggest common factor number is the GCF number.
So the greatest common factor 1156,6292 is 4.
Lets's calculate LCM of 531,993
| 3 | 531, 993 |
| 177, 331 |
∴ So the LCM of the given numbers is 3 x 177 x 331 = 175761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/175761
Therefore, the GCF of Fractions 1156/531,6292/993 is 4/175761
Least Common Multiple of 531,993 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 531,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(531,993) x common factors =3 x 1 = 3
LCM(531,993) = ( 531 × 993 ) / 3
LCM(531,993) = 527283 / 3
LCM(531,993) = 175761
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FAQs on GCF of Fractions of 1156/531, 6292/993
1. What is the HCF of 1156,6292?
The HCF of 1156,6292 is 4
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 1156/531, 6292/993?
Answer: GCF of Numerators as per given numbers 1156/531, 6292/993 is
GCF of Numerators i.e. for 1156,6292 is 4
LCM of denominators i.e. for 531,993 is 175761.
Thus, GCF of Fractions is 4/175761.Finally, GCF of Fractions for 1156/531, 6292/993 is 4/175761.