GCF of 767/573, 286/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 767/573, 286/624 i.e 13/119184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 767/573, 286/624.
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 767/573,286/624?
Given fractions are 767/573,286/624
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 767/573,286/624, numerators are 767,286
Denominators are 573,624
The GCF of 767,286 is 13 .
LCM of 573,624 is 119184.
The greatest common factor of 767/573,286/624 = [GCF of 767,286]/[LCM of 573,624]= 13/119184
Therefore, the GCF of 767/573,286/624 is 13/119184.
To find the highest common factor of 767,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 767 are 1, 13, 59, 767
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 767,286 is 13.
Lets's calculate GCF of 767,286
| 13 | 767, 286 |
| 59, 22 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 767,286 By Matching Biggest Common Factor Method
Now, list down the factors of 767
:1,13,59,767
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 767,286 . The biggest common factor number is the GCF number.
So the greatest common factor 767,286 is 13.
Lets's calculate LCM of 573,624
| 3 | 573, 624 |
| 191, 208 |
∴ So the LCM of the given numbers is 3 x 191 x 208 = 119184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/119184
Therefore, the GCF of Fractions 767/573,286/624 is 13/119184
Least Common Multiple of 573,624 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 573,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,624) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(573,624) x common factors =3 x 1 = 3
LCM(573,624) = ( 573 × 624 ) / 3
LCM(573,624) = 357552 / 3
LCM(573,624) = 119184
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FAQs on GCF of Fractions of 767/573, 286/624
1. What is the HCF of 767,286?
The HCF of 767,286 is 13
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 767/573, 286/624?
Answer: GCF of Numerators as per given numbers 767/573, 286/624 is
GCF of Numerators i.e. for 767,286 is 13
LCM of denominators i.e. for 573,624 is 119184.
Thus, GCF of Fractions is 13/119184.Finally, GCF of Fractions for 767/573, 286/624 is 13/119184.