GCF of 97/56, 744/58, 976/109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 97/56, 744/58, 976/109 i.e 1/177016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/56, 744/58, 976/109.
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 97/56,744/58,976/109?
Given fractions are 97/56,744/58,976/109
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 97/56,744/58,976/109, numerators are 97,744,976
Denominators are 56,58,109
The GCF of 97,744,976 is 1 .
LCM of 56,58,109 is 177016.
The greatest common factor of 97/56,744/58,976/109 = [GCF of 97,744,976]/[LCM of 56,58,109]= 1/177016
Therefore, the GCF of 97/56,744/58,976/109 is 1/177016.
To find the highest common factor of 97,744,976, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The HCF of 97,744,976 is 1.
Lets's calculate GCF of 97,744,976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 97,744,976 By Matching Biggest Common Factor Method
Now, list down the factors of 97
:1,97
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 97,744,976 . The biggest common factor number is the GCF number.
So the greatest common factor 97,744,976 is 1.
Lets's calculate LCM of 56,58,109
| 2 | 56, 58, 109 |
| 28, 29, 109 |
∴ So the LCM of the given numbers is 2 x 28 x 29 x 109 = 177016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177016
Therefore, the GCF of Fractions 97/56,744/58,976/109 is 1/177016
Least Common Multiple of 56,58,109 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 56,58,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,58,109) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(56,58,109) x common factors =1 x 2 = 2
LCM(56,58,109) = ( 56 × 58 × 109 ) / 2
LCM(56,58,109) = 354032 / 2
LCM(56,58,109) = 177016
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FAQs on GCF of Fractions of 97/56, 744/58, 976/109
1. What is the HCF of 97,744,976?
The HCF of 97,744,976 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 97/56, 744/58, 976/109?
Answer: GCF of Numerators as per given numbers 97/56, 744/58, 976/109 is
GCF of Numerators i.e. for 97,744,976 is 1
LCM of denominators i.e. for 56,58,109 is 177016.
Thus, GCF of Fractions is 1/177016.Finally, GCF of Fractions for 97/56, 744/58, 976/109 is 1/177016.