GCF of 7730/85, 5383/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7730/85, 5383/705 i.e 1/11985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7730/85, 5383/705.
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 7730/85,5383/705?
Given fractions are 7730/85,5383/705
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 7730/85,5383/705, numerators are 7730,5383
Denominators are 85,705
The GCF of 7730,5383 is 1 .
LCM of 85,705 is 11985.
The greatest common factor of 7730/85,5383/705 = [GCF of 7730,5383]/[LCM of 85,705]= 1/11985
Therefore, the GCF of 7730/85,5383/705 is 1/11985.
To find the highest common factor of 7730,5383, we have to find the factors of both numbers and list the highest common factor.
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The factors of 5383 are 1, 7, 769, 5383
The HCF of 7730,5383 is 1.
Lets's calculate GCF of 7730,5383
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7730,5383 By Matching Biggest Common Factor Method
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Now, list down the factors of 5383
:1,7,769,5383
Greatest Common Factor
We found the factors 7730,5383 . The biggest common factor number is the GCF number.
So the greatest common factor 7730,5383 is 1.
Lets's calculate LCM of 85,705
| 5 | 85, 705 |
| 17, 141 |
∴ So the LCM of the given numbers is 5 x 17 x 141 = 11985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11985
Therefore, the GCF of Fractions 7730/85,5383/705 is 1/11985
Least Common Multiple of 85,705 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 85,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,705) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(85,705) x common factors =5 x 1 = 5
LCM(85,705) = ( 85 × 705 ) / 5
LCM(85,705) = 59925 / 5
LCM(85,705) = 11985
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FAQs on GCF of Fractions of 7730/85, 5383/705
1. What is the HCF of 7730,5383?
The HCF of 7730,5383 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 7730/85, 5383/705?
Answer: GCF of Numerators as per given numbers 7730/85, 5383/705 is
GCF of Numerators i.e. for 7730,5383 is 1
LCM of denominators i.e. for 85,705 is 11985.
Thus, GCF of Fractions is 1/11985.Finally, GCF of Fractions for 7730/85, 5383/705 is 1/11985.