GCF of 776/126, 658/563
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 776/126, 658/563 i.e 2/70938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/126, 658/563.
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 776/126,658/563?
Given fractions are 776/126,658/563
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 776/126,658/563, numerators are 776,658
Denominators are 126,563
The GCF of 776,658 is 2 .
LCM of 126,563 is 70938.
The greatest common factor of 776/126,658/563 = [GCF of 776,658]/[LCM of 126,563]= 2/70938
Therefore, the GCF of 776/126,658/563 is 2/70938.
To find the highest common factor of 776,658, we have to find the factors of both numbers and list the highest common factor.
The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The HCF of 776,658 is 2.
Lets's calculate GCF of 776,658
| 2 | 776, 658 |
| 388, 329 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 776,658 By Matching Biggest Common Factor Method
Now, list down the factors of 776
:1,2,4,8,97,194,388,776
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 776,658 . The biggest common factor number is the GCF number.
So the greatest common factor 776,658 is 2.
Lets's calculate LCM of 126,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 70938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70938
Therefore, the GCF of Fractions 776/126,658/563 is 2/70938
Least Common Multiple of 126,563 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 126,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(126,563) x common factors =1 x 1 = 1
LCM(126,563) = ( 126 × 563 ) / 1
LCM(126,563) = 70938 / 1
LCM(126,563) = 70938
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FAQs on GCF of Fractions of 776/126, 658/563
1. What is the HCF of 776,658?
The HCF of 776,658 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 776/126, 658/563?
Answer: GCF of Numerators as per given numbers 776/126, 658/563 is
GCF of Numerators i.e. for 776,658 is 2
LCM of denominators i.e. for 126,563 is 70938.
Thus, GCF of Fractions is 2/70938.Finally, GCF of Fractions for 776/126, 658/563 is 2/70938.