GCF of 6902/633, 8538/591
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6902/633, 8538/591 i.e 2/124701 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6902/633, 8538/591.
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 6902/633,8538/591?
Given fractions are 6902/633,8538/591
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 6902/633,8538/591, numerators are 6902,8538
Denominators are 633,591
The GCF of 6902,8538 is 2 .
LCM of 633,591 is 124701.
The greatest common factor of 6902/633,8538/591 = [GCF of 6902,8538]/[LCM of 633,591]= 2/124701
Therefore, the GCF of 6902/633,8538/591 is 2/124701.
To find the highest common factor of 6902,8538, we have to find the factors of both numbers and list the highest common factor.
The factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902
The factors of 8538 are 1, 2, 3, 6, 1423, 2846, 4269, 8538
The HCF of 6902,8538 is 2.
Lets's calculate GCF of 6902,8538
| 2 | 6902, 8538 |
| 3451, 4269 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6902,8538 By Matching Biggest Common Factor Method
Now, list down the factors of 6902
:1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902
Now, list down the factors of 8538
:1,2,3,6,1423,2846,4269,8538
Greatest Common Factor
We found the factors 6902,8538 . The biggest common factor number is the GCF number.
So the greatest common factor 6902,8538 is 2.
Lets's calculate LCM of 633,591
| 3 | 633, 591 |
| 211, 197 |
∴ So the LCM of the given numbers is 3 x 211 x 197 = 124701
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124701
Therefore, the GCF of Fractions 6902/633,8538/591 is 2/124701
Least Common Multiple of 633,591 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 633,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,591) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(633,591) x common factors =3 x 1 = 3
LCM(633,591) = ( 633 × 591 ) / 3
LCM(633,591) = 374103 / 3
LCM(633,591) = 124701
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FAQs on GCF of Fractions of 6902/633, 8538/591
1. What is the HCF of 6902,8538?
The HCF of 6902,8538 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 6902/633, 8538/591?
Answer: GCF of Numerators as per given numbers 6902/633, 8538/591 is
GCF of Numerators i.e. for 6902,8538 is 2
LCM of denominators i.e. for 633,591 is 124701.
Thus, GCF of Fractions is 2/124701.Finally, GCF of Fractions for 6902/633, 8538/591 is 2/124701.