GCF of 5246/654, 7042/823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5246/654, 7042/823 i.e 2/538242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5246/654, 7042/823.
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 5246/654,7042/823?
Given fractions are 5246/654,7042/823
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 5246/654,7042/823, numerators are 5246,7042
Denominators are 654,823
The GCF of 5246,7042 is 2 .
LCM of 654,823 is 538242.
The greatest common factor of 5246/654,7042/823 = [GCF of 5246,7042]/[LCM of 654,823]= 2/538242
Therefore, the GCF of 5246/654,7042/823 is 2/538242.
To find the highest common factor of 5246,7042, we have to find the factors of both numbers and list the highest common factor.
The factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246
The factors of 7042 are 1, 2, 7, 14, 503, 1006, 3521, 7042
The HCF of 5246,7042 is 2.
Lets's calculate GCF of 5246,7042
| 2 | 5246, 7042 |
| 2623, 3521 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5246,7042 By Matching Biggest Common Factor Method
Now, list down the factors of 5246
:1,2,43,61,86,122,2623,5246
Now, list down the factors of 7042
:1,2,7,14,503,1006,3521,7042
Greatest Common Factor
We found the factors 5246,7042 . The biggest common factor number is the GCF number.
So the greatest common factor 5246,7042 is 2.
Lets's calculate LCM of 654,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 538242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/538242
Therefore, the GCF of Fractions 5246/654,7042/823 is 2/538242
Least Common Multiple of 654,823 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 654,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(654,823) x common factors =1 x 1 = 1
LCM(654,823) = ( 654 × 823 ) / 1
LCM(654,823) = 538242 / 1
LCM(654,823) = 538242
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FAQs on GCF of Fractions of 5246/654, 7042/823
1. What is the HCF of 5246,7042?
The HCF of 5246,7042 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 5246/654, 7042/823?
Answer: GCF of Numerators as per given numbers 5246/654, 7042/823 is
GCF of Numerators i.e. for 5246,7042 is 2
LCM of denominators i.e. for 654,823 is 538242.
Thus, GCF of Fractions is 2/538242.Finally, GCF of Fractions for 5246/654, 7042/823 is 2/538242.