GCF of 37/951, 245/932, 821/334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 37/951, 245/932, 821/334 i.e 1/148017444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 37/951, 245/932, 821/334.
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 37/951,245/932,821/334?
Given fractions are 37/951,245/932,821/334
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 37/951,245/932,821/334, numerators are 37,245,821
Denominators are 951,932,334
The GCF of 37,245,821 is 1 .
LCM of 951,932,334 is 148017444.
The greatest common factor of 37/951,245/932,821/334 = [GCF of 37,245,821]/[LCM of 951,932,334]= 1/148017444
Therefore, the GCF of 37/951,245/932,821/334 is 1/148017444.
To find the highest common factor of 37,245,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 37 are 1, 37
The factors of 245 are 1, 5, 7, 35, 49, 245
The factors of 821 are 1, 821
The HCF of 37,245,821 is 1.
Lets's calculate GCF of 37,245,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 37,245,821 By Matching Biggest Common Factor Method
Now, list down the factors of 37
:1,37
Now, list down the factors of 245
:1,5,7,35,49,245
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 37,245,821 . The biggest common factor number is the GCF number.
So the greatest common factor 37,245,821 is 1.
Lets's calculate LCM of 951,932,334
| 2 | 951, 932, 334 |
| 951, 466, 167 |
∴ So the LCM of the given numbers is 2 x 951 x 466 x 167 = 148017444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148017444
Therefore, the GCF of Fractions 37/951,245/932,821/334 is 1/148017444
Least Common Multiple of 951,932,334 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 951,932,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,932,334) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(951,932,334) x common factors =1 x 2 = 2
LCM(951,932,334) = ( 951 × 932 × 334 ) / 2
LCM(951,932,334) = 296034888 / 2
LCM(951,932,334) = 148017444
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FAQs on GCF of Fractions of 37/951, 245/932, 821/334
1. What is the HCF of 37,245,821?
The HCF of 37,245,821 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 37/951, 245/932, 821/334?
Answer: GCF of Numerators as per given numbers 37/951, 245/932, 821/334 is
GCF of Numerators i.e. for 37,245,821 is 1
LCM of denominators i.e. for 951,932,334 is 148017444.
Thus, GCF of Fractions is 1/148017444.Finally, GCF of Fractions for 37/951, 245/932, 821/334 is 1/148017444.