GCF of 970/97, 972/423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 970/97, 972/423 i.e 2/41031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/97, 972/423.
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 970/97,972/423?
Given fractions are 970/97,972/423
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 970/97,972/423, numerators are 970,972
Denominators are 97,423
The GCF of 970,972 is 2 .
LCM of 97,423 is 41031.
The greatest common factor of 970/97,972/423 = [GCF of 970,972]/[LCM of 97,423]= 2/41031
Therefore, the GCF of 970/97,972/423 is 2/41031.
To find the highest common factor of 970,972, we have to find the factors of both numbers and list the highest common factor.
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
The HCF of 970,972 is 2.
Lets's calculate GCF of 970,972
| 2 | 970, 972 |
| 485, 486 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 970,972 By Matching Biggest Common Factor Method
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Now, list down the factors of 972
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 970,972 . The biggest common factor number is the GCF number.
So the greatest common factor 970,972 is 2.
Lets's calculate LCM of 97,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 41031
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41031
Therefore, the GCF of Fractions 970/97,972/423 is 2/41031
Least Common Multiple of 97,423 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 97,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,423) x common factors =1 x 1 = 1
LCM(97,423) = ( 97 × 423 ) / 1
LCM(97,423) = 41031 / 1
LCM(97,423) = 41031
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FAQs on GCF of Fractions of 970/97, 972/423
1. What is the HCF of 970,972?
The HCF of 970,972 is 2
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 970/97, 972/423?
Answer: GCF of Numerators as per given numbers 970/97, 972/423 is
GCF of Numerators i.e. for 970,972 is 2
LCM of denominators i.e. for 97,423 is 41031.
Thus, GCF of Fractions is 2/41031.Finally, GCF of Fractions for 970/97, 972/423 is 2/41031.