GCF of 8506/997, 6292/823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8506/997, 6292/823 i.e 2/820531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8506/997, 6292/823.
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 8506/997,6292/823?
Given fractions are 8506/997,6292/823
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 8506/997,6292/823, numerators are 8506,6292
Denominators are 997,823
The GCF of 8506,6292 is 2 .
LCM of 997,823 is 820531.
The greatest common factor of 8506/997,6292/823 = [GCF of 8506,6292]/[LCM of 997,823]= 2/820531
Therefore, the GCF of 8506/997,6292/823 is 2/820531.
To find the highest common factor of 8506,6292, we have to find the factors of both numbers and list the highest common factor.
The factors of 8506 are 1, 2, 4253, 8506
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 8506,6292 is 2.
Lets's calculate GCF of 8506,6292
| 2 | 8506, 6292 |
| 4253, 3146 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8506,6292 By Matching Biggest Common Factor Method
Now, list down the factors of 8506
:1,2,4253,8506
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 8506,6292 . The biggest common factor number is the GCF number.
So the greatest common factor 8506,6292 is 2.
Lets's calculate LCM of 997,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 820531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/820531
Therefore, the GCF of Fractions 8506/997,6292/823 is 2/820531
Least Common Multiple of 997,823 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 997,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,823) x common factors =1 x 1 = 1
LCM(997,823) = ( 997 × 823 ) / 1
LCM(997,823) = 820531 / 1
LCM(997,823) = 820531
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FAQs on GCF of Fractions of 8506/997, 6292/823
1. What is the HCF of 8506,6292?
The HCF of 8506,6292 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 8506/997, 6292/823?
Answer: GCF of Numerators as per given numbers 8506/997, 6292/823 is
GCF of Numerators i.e. for 8506,6292 is 2
LCM of denominators i.e. for 997,823 is 820531.
Thus, GCF of Fractions is 2/820531.Finally, GCF of Fractions for 8506/997, 6292/823 is 2/820531.