GCF of 83/98, 668/50, 756/392
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 83/98, 668/50, 756/392 i.e 1/9800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 83/98, 668/50, 756/392.
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 83/98,668/50,756/392?
Given fractions are 83/98,668/50,756/392
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 83/98,668/50,756/392, numerators are 83,668,756
Denominators are 98,50,392
The GCF of 83,668,756 is 1 .
LCM of 98,50,392 is 9800.
The greatest common factor of 83/98,668/50,756/392 = [GCF of 83,668,756]/[LCM of 98,50,392]= 1/9800
Therefore, the GCF of 83/98,668/50,756/392 is 1/9800.
To find the highest common factor of 83,668,756, we have to find the factors of both numbers and list the highest common factor.
The factors of 83 are 1, 83
The factors of 668 are 1, 2, 4, 167, 334, 668
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
The HCF of 83,668,756 is 1.
Lets's calculate GCF of 83,668,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 83,668,756 By Matching Biggest Common Factor Method
Now, list down the factors of 83
:1,83
Now, list down the factors of 668
:1,2,4,167,334,668
Now, list down the factors of 756
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 83,668,756 . The biggest common factor number is the GCF number.
So the greatest common factor 83,668,756 is 1.
Lets's calculate LCM of 98,50,392
| 2 | 98, 50, 392 |
| 7 | 49, 25, 196 |
| 7 | 7, 25, 28 |
| 1, 25, 4 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 25 x 4 = 9800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9800
Therefore, the GCF of Fractions 83/98,668/50,756/392 is 1/9800
Least Common Multiple of 98,50,392 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 98,50,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,50,392) = 2
common factors(in case of two or more numbers have common factors) = 98
GCF(98,50,392) x common factors =2 x 98 = 196
LCM(98,50,392) = ( 98 × 50 × 392 ) / 196
LCM(98,50,392) = 1920800 / 196
LCM(98,50,392) = 9800
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FAQs on GCF of Fractions of 83/98, 668/50, 756/392
1. What is the HCF of 83,668,756?
The HCF of 83,668,756 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 83/98, 668/50, 756/392?
Answer: GCF of Numerators as per given numbers 83/98, 668/50, 756/392 is
GCF of Numerators i.e. for 83,668,756 is 1
LCM of denominators i.e. for 98,50,392 is 9800.
Thus, GCF of Fractions is 1/9800.Finally, GCF of Fractions for 83/98, 668/50, 756/392 is 1/9800.