GCF of 39/83, 971/70, 602/830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/83, 971/70, 602/830 i.e 1/5810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/83, 971/70, 602/830.
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 39/83,971/70,602/830?
Given fractions are 39/83,971/70,602/830
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 39/83,971/70,602/830, numerators are 39,971,602
Denominators are 83,70,830
The GCF of 39,971,602 is 1 .
LCM of 83,70,830 is 5810.
The greatest common factor of 39/83,971/70,602/830 = [GCF of 39,971,602]/[LCM of 83,70,830]= 1/5810
Therefore, the GCF of 39/83,971/70,602/830 is 1/5810.
To find the highest common factor of 39,971,602, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 971 are 1, 971
The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602
The HCF of 39,971,602 is 1.
Lets's calculate GCF of 39,971,602
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,971,602 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 971
:1,971
Now, list down the factors of 602
:1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 39,971,602 . The biggest common factor number is the GCF number.
So the greatest common factor 39,971,602 is 1.
Lets's calculate LCM of 83,70,830
| 2 | 83, 70, 830 |
| 5 | 83, 35, 415 |
| 83 | 83, 7, 83 |
| 1, 7, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 83 x 1 x 7 x 1 = 5810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5810
Therefore, the GCF of Fractions 39/83,971/70,602/830 is 1/5810
Least Common Multiple of 83,70,830 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 83,70,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,70,830) = 1
common factors(in case of two or more numbers have common factors) = 830
GCF(83,70,830) x common factors =1 x 830 = 830
LCM(83,70,830) = ( 83 × 70 × 830 ) / 830
LCM(83,70,830) = 4822300 / 830
LCM(83,70,830) = 5810
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FAQs on GCF of Fractions of 39/83, 971/70, 602/830
1. What is the HCF of 39,971,602?
The HCF of 39,971,602 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 39/83, 971/70, 602/830?
Answer: GCF of Numerators as per given numbers 39/83, 971/70, 602/830 is
GCF of Numerators i.e. for 39,971,602 is 1
LCM of denominators i.e. for 83,70,830 is 5810.
Thus, GCF of Fractions is 1/5810.Finally, GCF of Fractions for 39/83, 971/70, 602/830 is 1/5810.