GCF of 649/561, 934/699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 649/561, 934/699 i.e 1/130713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 649/561, 934/699.
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 649/561,934/699?
Given fractions are 649/561,934/699
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 649/561,934/699, numerators are 649,934
Denominators are 561,699
The GCF of 649,934 is 1 .
LCM of 561,699 is 130713.
The greatest common factor of 649/561,934/699 = [GCF of 649,934]/[LCM of 561,699]= 1/130713
Therefore, the GCF of 649/561,934/699 is 1/130713.
To find the highest common factor of 649,934, we have to find the factors of both numbers and list the highest common factor.
The factors of 649 are 1, 11, 59, 649
The factors of 934 are 1, 2, 467, 934
The HCF of 649,934 is 1.
Lets's calculate GCF of 649,934
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 649,934 By Matching Biggest Common Factor Method
Now, list down the factors of 649
:1,11,59,649
Now, list down the factors of 934
:1,2,467,934
Greatest Common Factor
We found the factors 649,934 . The biggest common factor number is the GCF number.
So the greatest common factor 649,934 is 1.
Lets's calculate LCM of 561,699
| 3 | 561, 699 |
| 187, 233 |
∴ So the LCM of the given numbers is 3 x 187 x 233 = 130713
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130713
Therefore, the GCF of Fractions 649/561,934/699 is 1/130713
Least Common Multiple of 561,699 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 561,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,699) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,699) x common factors =3 x 1 = 3
LCM(561,699) = ( 561 × 699 ) / 3
LCM(561,699) = 392139 / 3
LCM(561,699) = 130713
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FAQs on GCF of Fractions of 649/561, 934/699
1. What is the HCF of 649,934?
The HCF of 649,934 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 649/561, 934/699?
Answer: GCF of Numerators as per given numbers 649/561, 934/699 is
GCF of Numerators i.e. for 649,934 is 1
LCM of denominators i.e. for 561,699 is 130713.
Thus, GCF of Fractions is 1/130713.Finally, GCF of Fractions for 649/561, 934/699 is 1/130713.