GCF of 5673/561, 1010/7710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5673/561, 1010/7710 i.e 1/1441770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5673/561, 1010/7710.
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 5673/561,1010/7710?
Given fractions are 5673/561,1010/7710
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 5673/561,1010/7710, numerators are 5673,1010
Denominators are 561,7710
The GCF of 5673,1010 is 1 .
LCM of 561,7710 is 1441770.
The greatest common factor of 5673/561,1010/7710 = [GCF of 5673,1010]/[LCM of 561,7710]= 1/1441770
Therefore, the GCF of 5673/561,1010/7710 is 1/1441770.
To find the highest common factor of 5673,1010, we have to find the factors of both numbers and list the highest common factor.
The factors of 5673 are 1, 3, 31, 61, 93, 183, 1891, 5673
The factors of 1010 are 1, 2, 5, 10, 101, 202, 505, 1010
The HCF of 5673,1010 is 1.
Lets's calculate GCF of 5673,1010
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5673,1010 By Matching Biggest Common Factor Method
Now, list down the factors of 5673
:1,3,31,61,93,183,1891,5673
Now, list down the factors of 1010
:1,2,5,10,101,202,505,1010
Greatest Common Factor
We found the factors 5673,1010 . The biggest common factor number is the GCF number.
So the greatest common factor 5673,1010 is 1.
Lets's calculate LCM of 561,7710
| 3 | 561, 7710 |
| 187, 2570 |
∴ So the LCM of the given numbers is 3 x 187 x 2570 = 1441770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1441770
Therefore, the GCF of Fractions 5673/561,1010/7710 is 1/1441770
Least Common Multiple of 561,7710 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 561,7710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,7710) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,7710) x common factors =3 x 1 = 3
LCM(561,7710) = ( 561 × 7710 ) / 3
LCM(561,7710) = 4325310 / 3
LCM(561,7710) = 1441770
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FAQs on GCF of Fractions of 5673/561, 1010/7710
1. What is the HCF of 5673,1010?
The HCF of 5673,1010 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 5673/561, 1010/7710?
Answer: GCF of Numerators as per given numbers 5673/561, 1010/7710 is
GCF of Numerators i.e. for 5673,1010 is 1
LCM of denominators i.e. for 561,7710 is 1441770.
Thus, GCF of Fractions is 1/1441770.Finally, GCF of Fractions for 5673/561, 1010/7710 is 1/1441770.