GCF of 72/70, 319/31, 309/956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 72/70, 319/31, 309/956 i.e 1/1037260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/70, 319/31, 309/956.
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 72/70,319/31,309/956?
Given fractions are 72/70,319/31,309/956
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 72/70,319/31,309/956, numerators are 72,319,309
Denominators are 70,31,956
The GCF of 72,319,309 is 1 .
LCM of 70,31,956 is 1037260.
The greatest common factor of 72/70,319/31,309/956 = [GCF of 72,319,309]/[LCM of 70,31,956]= 1/1037260
Therefore, the GCF of 72/70,319/31,309/956 is 1/1037260.
To find the highest common factor of 72,319,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 319 are 1, 11, 29, 319
The factors of 309 are 1, 3, 103, 309
The HCF of 72,319,309 is 1.
Lets's calculate GCF of 72,319,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 72,319,309 By Matching Biggest Common Factor Method
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 319
:1,11,29,319
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 72,319,309 . The biggest common factor number is the GCF number.
So the greatest common factor 72,319,309 is 1.
Lets's calculate LCM of 70,31,956
| 2 | 70, 31, 956 |
| 35, 31, 478 |
∴ So the LCM of the given numbers is 2 x 35 x 31 x 478 = 1037260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1037260
Therefore, the GCF of Fractions 72/70,319/31,309/956 is 1/1037260
Least Common Multiple of 70,31,956 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 70,31,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,31,956) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(70,31,956) x common factors =1 x 2 = 2
LCM(70,31,956) = ( 70 × 31 × 956 ) / 2
LCM(70,31,956) = 2074520 / 2
LCM(70,31,956) = 1037260
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FAQs on GCF of Fractions of 72/70, 319/31, 309/956
1. What is the HCF of 72,319,309?
The HCF of 72,319,309 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 72/70, 319/31, 309/956?
Answer: GCF of Numerators as per given numbers 72/70, 319/31, 309/956 is
GCF of Numerators i.e. for 72,319,309 is 1
LCM of denominators i.e. for 70,31,956 is 1037260.
Thus, GCF of Fractions is 1/1037260.Finally, GCF of Fractions for 72/70, 319/31, 309/956 is 1/1037260.