GCF of 5687/766, 4769/906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5687/766, 4769/906 i.e 1/346998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5687/766, 4769/906.
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 5687/766,4769/906?
Given fractions are 5687/766,4769/906
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 5687/766,4769/906, numerators are 5687,4769
Denominators are 766,906
The GCF of 5687,4769 is 1 .
LCM of 766,906 is 346998.
The greatest common factor of 5687/766,4769/906 = [GCF of 5687,4769]/[LCM of 766,906]= 1/346998
Therefore, the GCF of 5687/766,4769/906 is 1/346998.
To find the highest common factor of 5687,4769, we have to find the factors of both numbers and list the highest common factor.
The factors of 5687 are 1, 11, 47, 121, 517, 5687
The factors of 4769 are 1, 19, 251, 4769
The HCF of 5687,4769 is 1.
Lets's calculate GCF of 5687,4769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5687,4769 By Matching Biggest Common Factor Method
Now, list down the factors of 5687
:1,11,47,121,517,5687
Now, list down the factors of 4769
:1,19,251,4769
Greatest Common Factor
We found the factors 5687,4769 . The biggest common factor number is the GCF number.
So the greatest common factor 5687,4769 is 1.
Lets's calculate LCM of 766,906
| 2 | 766, 906 |
| 383, 453 |
∴ So the LCM of the given numbers is 2 x 383 x 453 = 346998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346998
Therefore, the GCF of Fractions 5687/766,4769/906 is 1/346998
Least Common Multiple of 766,906 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 766,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,906) x common factors =2 x 1 = 2
LCM(766,906) = ( 766 × 906 ) / 2
LCM(766,906) = 693996 / 2
LCM(766,906) = 346998
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FAQs on GCF of Fractions of 5687/766, 4769/906
1. What is the HCF of 5687,4769?
The HCF of 5687,4769 is 1
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 5687/766, 4769/906?
Answer: GCF of Numerators as per given numbers 5687/766, 4769/906 is
GCF of Numerators i.e. for 5687,4769 is 1
LCM of denominators i.e. for 766,906 is 346998.
Thus, GCF of Fractions is 1/346998.Finally, GCF of Fractions for 5687/766, 4769/906 is 1/346998.