GCF of 6351/762, 9490/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6351/762, 9490/209 i.e 73/159258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6351/762, 9490/209.
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 6351/762,9490/209?
Given fractions are 6351/762,9490/209
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 6351/762,9490/209, numerators are 6351,9490
Denominators are 762,209
The GCF of 6351,9490 is 73 .
LCM of 762,209 is 159258.
The greatest common factor of 6351/762,9490/209 = [GCF of 6351,9490]/[LCM of 762,209]= 73/159258
Therefore, the GCF of 6351/762,9490/209 is 73/159258.
To find the highest common factor of 6351,9490, we have to find the factors of both numbers and list the highest common factor.
The factors of 6351 are 1, 3, 29, 73, 87, 219, 2117, 6351
The factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490
The HCF of 6351,9490 is 73.
Lets's calculate GCF of 6351,9490
| 73 | 6351, 9490 |
| 87, 130 |
∴ So the GCF of the given numbers is 73 = 73
Greatest Common Factor of 6351,9490 By Matching Biggest Common Factor Method
Now, list down the factors of 6351
:1,3,29,73,87,219,2117,6351
Now, list down the factors of 9490
:1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490
Greatest Common Factor
We found the factors 6351,9490 . The biggest common factor number is the GCF number.
So the greatest common factor 6351,9490 is 73.
Lets's calculate LCM of 762,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 159258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/159258
Therefore, the GCF of Fractions 6351/762,9490/209 is 73/159258
Least Common Multiple of 762,209 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 762,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,209) x common factors =1 x 1 = 1
LCM(762,209) = ( 762 × 209 ) / 1
LCM(762,209) = 159258 / 1
LCM(762,209) = 159258
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FAQs on GCF of Fractions of 6351/762, 9490/209
1. What is the HCF of 6351,9490?
The HCF of 6351,9490 is 73
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 6351/762, 9490/209?
Answer: GCF of Numerators as per given numbers 6351/762, 9490/209 is
GCF of Numerators i.e. for 6351,9490 is 73
LCM of denominators i.e. for 762,209 is 159258.
Thus, GCF of Fractions is 73/159258.Finally, GCF of Fractions for 6351/762, 9490/209 is 73/159258.