GCF of 768/77, 423/8901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 768/77, 423/8901 i.e 3/685377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 768/77, 423/8901.
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 768/77,423/8901?
Given fractions are 768/77,423/8901
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 768/77,423/8901, numerators are 768,423
Denominators are 77,8901
The GCF of 768,423 is 3 .
LCM of 77,8901 is 685377.
The greatest common factor of 768/77,423/8901 = [GCF of 768,423]/[LCM of 77,8901]= 3/685377
Therefore, the GCF of 768/77,423/8901 is 3/685377.
To find the highest common factor of 768,423, we have to find the factors of both numbers and list the highest common factor.
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The factors of 423 are 1, 3, 9, 47, 141, 423
The HCF of 768,423 is 3.
Lets's calculate GCF of 768,423
| 3 | 768, 423 |
| 256, 141 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 768,423 By Matching Biggest Common Factor Method
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Now, list down the factors of 423
:1,3,9,47,141,423
Greatest Common Factor
We found the factors 768,423 . The biggest common factor number is the GCF number.
So the greatest common factor 768,423 is 3.
Lets's calculate LCM of 77,8901
Given numbers has no common factors except 1. So, there LCM is their product i.e 685377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/685377
Therefore, the GCF of Fractions 768/77,423/8901 is 3/685377
Least Common Multiple of 77,8901 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 77,8901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,8901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,8901) x common factors =1 x 1 = 1
LCM(77,8901) = ( 77 × 8901 ) / 1
LCM(77,8901) = 685377 / 1
LCM(77,8901) = 685377
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FAQs on GCF of Fractions of 768/77, 423/8901
1. What is the HCF of 768,423?
The HCF of 768,423 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 768/77, 423/8901?
Answer: GCF of Numerators as per given numbers 768/77, 423/8901 is
GCF of Numerators i.e. for 768,423 is 3
LCM of denominators i.e. for 77,8901 is 685377.
Thus, GCF of Fractions is 3/685377.Finally, GCF of Fractions for 768/77, 423/8901 is 3/685377.