GCF of 83/35, 292/94, 692/259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 83/35, 292/94, 692/259 i.e 1/121730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 83/35, 292/94, 692/259.
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 83/35,292/94,692/259?
Given fractions are 83/35,292/94,692/259
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 83/35,292/94,692/259, numerators are 83,292,692
Denominators are 35,94,259
The GCF of 83,292,692 is 1 .
LCM of 35,94,259 is 121730.
The greatest common factor of 83/35,292/94,692/259 = [GCF of 83,292,692]/[LCM of 35,94,259]= 1/121730
Therefore, the GCF of 83/35,292/94,692/259 is 1/121730.
To find the highest common factor of 83,292,692, we have to find the factors of both numbers and list the highest common factor.
The factors of 83 are 1, 83
The factors of 292 are 1, 2, 4, 73, 146, 292
The factors of 692 are 1, 2, 4, 173, 346, 692
The HCF of 83,292,692 is 1.
Lets's calculate GCF of 83,292,692
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 83,292,692 By Matching Biggest Common Factor Method
Now, list down the factors of 83
:1,83
Now, list down the factors of 292
:1,2,4,73,146,292
Now, list down the factors of 692
:1,2,4,173,346,692
Greatest Common Factor
We found the factors 83,292,692 . The biggest common factor number is the GCF number.
So the greatest common factor 83,292,692 is 1.
Lets's calculate LCM of 35,94,259
| 7 | 35, 94, 259 |
| 5, 94, 37 |
∴ So the LCM of the given numbers is 7 x 5 x 94 x 37 = 121730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121730
Therefore, the GCF of Fractions 83/35,292/94,692/259 is 1/121730
Least Common Multiple of 35,94,259 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 35,94,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,94,259) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(35,94,259) x common factors =1 x 7 = 7
LCM(35,94,259) = ( 35 × 94 × 259 ) / 7
LCM(35,94,259) = 852110 / 7
LCM(35,94,259) = 121730
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FAQs on GCF of Fractions of 83/35, 292/94, 692/259
1. What is the HCF of 83,292,692?
The HCF of 83,292,692 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 83/35, 292/94, 692/259?
Answer: GCF of Numerators as per given numbers 83/35, 292/94, 692/259 is
GCF of Numerators i.e. for 83,292,692 is 1
LCM of denominators i.e. for 35,94,259 is 121730.
Thus, GCF of Fractions is 1/121730.Finally, GCF of Fractions for 83/35, 292/94, 692/259 is 1/121730.