GCF of 94/952, 318/996, 762/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/952, 318/996, 762/204 i.e 2/237048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/952, 318/996, 762/204.
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 94/952,318/996,762/204?
Given fractions are 94/952,318/996,762/204
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 94/952,318/996,762/204, numerators are 94,318,762
Denominators are 952,996,204
The GCF of 94,318,762 is 2 .
LCM of 952,996,204 is 237048.
The greatest common factor of 94/952,318/996,762/204 = [GCF of 94,318,762]/[LCM of 952,996,204]= 2/237048
Therefore, the GCF of 94/952,318/996,762/204 is 2/237048.
To find the highest common factor of 94,318,762, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 94,318,762 is 2.
Lets's calculate GCF of 94,318,762
| 2 | 94, 318, 762 |
| 47, 159, 381 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 94,318,762 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 94,318,762 . The biggest common factor number is the GCF number.
So the greatest common factor 94,318,762 is 2.
Lets's calculate LCM of 952,996,204
| 2 | 952, 996, 204 |
| 2 | 476, 498, 102 |
| 3 | 238, 249, 51 |
| 17 | 238, 83, 17 |
| 14, 83, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 14 x 83 x 1 = 237048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/237048
Therefore, the GCF of Fractions 94/952,318/996,762/204 is 2/237048
Least Common Multiple of 952,996,204 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 952,996,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,996,204) = 4
common factors(in case of two or more numbers have common factors) = 204
GCF(952,996,204) x common factors =4 x 204 = 816
LCM(952,996,204) = ( 952 × 996 × 204 ) / 816
LCM(952,996,204) = 193431168 / 816
LCM(952,996,204) = 237048
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FAQs on GCF of Fractions of 94/952, 318/996, 762/204
1. What is the HCF of 94,318,762?
The HCF of 94,318,762 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 94/952, 318/996, 762/204?
Answer: GCF of Numerators as per given numbers 94/952, 318/996, 762/204 is
GCF of Numerators i.e. for 94,318,762 is 2
LCM of denominators i.e. for 952,996,204 is 237048.
Thus, GCF of Fractions is 2/237048.Finally, GCF of Fractions for 94/952, 318/996, 762/204 is 2/237048.