GCF of 5703/510, 7669/1401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5703/510, 7669/1401 i.e 1/238170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5703/510, 7669/1401.
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 5703/510,7669/1401?
Given fractions are 5703/510,7669/1401
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 5703/510,7669/1401, numerators are 5703,7669
Denominators are 510,1401
The GCF of 5703,7669 is 1 .
LCM of 510,1401 is 238170.
The greatest common factor of 5703/510,7669/1401 = [GCF of 5703,7669]/[LCM of 510,1401]= 1/238170
Therefore, the GCF of 5703/510,7669/1401 is 1/238170.
To find the highest common factor of 5703,7669, we have to find the factors of both numbers and list the highest common factor.
The factors of 5703 are 1, 3, 1901, 5703
The factors of 7669 are 1, 7669
The HCF of 5703,7669 is 1.
Lets's calculate GCF of 5703,7669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5703,7669 By Matching Biggest Common Factor Method
Now, list down the factors of 5703
:1,3,1901,5703
Now, list down the factors of 7669
:1,7669
Greatest Common Factor
We found the factors 5703,7669 . The biggest common factor number is the GCF number.
So the greatest common factor 5703,7669 is 1.
Lets's calculate LCM of 510,1401
| 3 | 510, 1401 |
| 170, 467 |
∴ So the LCM of the given numbers is 3 x 170 x 467 = 238170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238170
Therefore, the GCF of Fractions 5703/510,7669/1401 is 1/238170
Least Common Multiple of 510,1401 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 510,1401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,1401) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(510,1401) x common factors =3 x 1 = 3
LCM(510,1401) = ( 510 × 1401 ) / 3
LCM(510,1401) = 714510 / 3
LCM(510,1401) = 238170
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FAQs on GCF of Fractions of 5703/510, 7669/1401
1. What is the HCF of 5703,7669?
The HCF of 5703,7669 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 5703/510, 7669/1401?
Answer: GCF of Numerators as per given numbers 5703/510, 7669/1401 is
GCF of Numerators i.e. for 5703,7669 is 1
LCM of denominators i.e. for 510,1401 is 238170.
Thus, GCF of Fractions is 1/238170.Finally, GCF of Fractions for 5703/510, 7669/1401 is 1/238170.