GCF of 6813/974, 8805/5312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6813/974, 8805/5312 i.e 3/2586944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6813/974, 8805/5312.
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 6813/974,8805/5312?
Given fractions are 6813/974,8805/5312
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 6813/974,8805/5312, numerators are 6813,8805
Denominators are 974,5312
The GCF of 6813,8805 is 3 .
LCM of 974,5312 is 2586944.
The greatest common factor of 6813/974,8805/5312 = [GCF of 6813,8805]/[LCM of 974,5312]= 3/2586944
Therefore, the GCF of 6813/974,8805/5312 is 3/2586944.
To find the highest common factor of 6813,8805, we have to find the factors of both numbers and list the highest common factor.
The factors of 6813 are 1, 3, 9, 757, 2271, 6813
The factors of 8805 are 1, 3, 5, 15, 587, 1761, 2935, 8805
The HCF of 6813,8805 is 3.
Lets's calculate GCF of 6813,8805
| 3 | 6813, 8805 |
| 2271, 2935 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6813,8805 By Matching Biggest Common Factor Method
Now, list down the factors of 6813
:1,3,9,757,2271,6813
Now, list down the factors of 8805
:1,3,5,15,587,1761,2935,8805
Greatest Common Factor
We found the factors 6813,8805 . The biggest common factor number is the GCF number.
So the greatest common factor 6813,8805 is 3.
Lets's calculate LCM of 974,5312
| 2 | 974, 5312 |
| 487, 2656 |
∴ So the LCM of the given numbers is 2 x 487 x 2656 = 2586944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2586944
Therefore, the GCF of Fractions 6813/974,8805/5312 is 3/2586944
Least Common Multiple of 974,5312 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 974,5312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,5312) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,5312) x common factors =2 x 1 = 2
LCM(974,5312) = ( 974 × 5312 ) / 2
LCM(974,5312) = 5173888 / 2
LCM(974,5312) = 2586944
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FAQs on GCF of Fractions of 6813/974, 8805/5312
1. What is the HCF of 6813,8805?
The HCF of 6813,8805 is 3
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 6813/974, 8805/5312?
Answer: GCF of Numerators as per given numbers 6813/974, 8805/5312 is
GCF of Numerators i.e. for 6813,8805 is 3
LCM of denominators i.e. for 974,5312 is 2586944.
Thus, GCF of Fractions is 3/2586944.Finally, GCF of Fractions for 6813/974, 8805/5312 is 3/2586944.