GCF of 92/302, 83/564, 638/692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/302, 83/564, 638/692 i.e 1/14733372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/302, 83/564, 638/692.
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 92/302,83/564,638/692?
Given fractions are 92/302,83/564,638/692
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 92/302,83/564,638/692, numerators are 92,83,638
Denominators are 302,564,692
The GCF of 92,83,638 is 1 .
LCM of 302,564,692 is 14733372.
The greatest common factor of 92/302,83/564,638/692 = [GCF of 92,83,638]/[LCM of 302,564,692]= 1/14733372
Therefore, the GCF of 92/302,83/564,638/692 is 1/14733372.
To find the highest common factor of 92,83,638, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 83 are 1, 83
The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638
The HCF of 92,83,638 is 1.
Lets's calculate GCF of 92,83,638
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,83,638 By Matching Biggest Common Factor Method
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 83
:1,83
Now, list down the factors of 638
:1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 92,83,638 . The biggest common factor number is the GCF number.
So the greatest common factor 92,83,638 is 1.
Lets's calculate LCM of 302,564,692
| 2 | 302, 564, 692 |
| 2 | 151, 282, 346 |
| 151, 141, 173 |
∴ So the LCM of the given numbers is 2 x 2 x 151 x 141 x 173 = 14733372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14733372
Therefore, the GCF of Fractions 92/302,83/564,638/692 is 1/14733372
Least Common Multiple of 302,564,692 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 302,564,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,564,692) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(302,564,692) x common factors =2 x 4 = 8
LCM(302,564,692) = ( 302 × 564 × 692 ) / 8
LCM(302,564,692) = 117866976 / 8
LCM(302,564,692) = 14733372
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FAQs on GCF of Fractions of 92/302, 83/564, 638/692
1. What is the HCF of 92,83,638?
The HCF of 92,83,638 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 92/302, 83/564, 638/692?
Answer: GCF of Numerators as per given numbers 92/302, 83/564, 638/692 is
GCF of Numerators i.e. for 92,83,638 is 1
LCM of denominators i.e. for 302,564,692 is 14733372.
Thus, GCF of Fractions is 1/14733372.Finally, GCF of Fractions for 92/302, 83/564, 638/692 is 1/14733372.