GCF of 98/12, 887/69, 250/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/12, 887/69, 250/758 i.e 1/104604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/12, 887/69, 250/758.
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 98/12,887/69,250/758?
Given fractions are 98/12,887/69,250/758
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 98/12,887/69,250/758, numerators are 98,887,250
Denominators are 12,69,758
The GCF of 98,887,250 is 1 .
LCM of 12,69,758 is 104604.
The greatest common factor of 98/12,887/69,250/758 = [GCF of 98,887,250]/[LCM of 12,69,758]= 1/104604
Therefore, the GCF of 98/12,887/69,250/758 is 1/104604.
To find the highest common factor of 98,887,250, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 887 are 1, 887
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
The HCF of 98,887,250 is 1.
Lets's calculate GCF of 98,887,250
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 98,887,250 By Matching Biggest Common Factor Method
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 887
:1,887
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 98,887,250 . The biggest common factor number is the GCF number.
So the greatest common factor 98,887,250 is 1.
Lets's calculate LCM of 12,69,758
| 2 | 12, 69, 758 |
| 3 | 6, 69, 379 |
| 2, 23, 379 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 23 x 379 = 104604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104604
Therefore, the GCF of Fractions 98/12,887/69,250/758 is 1/104604
Least Common Multiple of 12,69,758 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 12,69,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,69,758) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(12,69,758) x common factors =1 x 6 = 6
LCM(12,69,758) = ( 12 × 69 × 758 ) / 6
LCM(12,69,758) = 627624 / 6
LCM(12,69,758) = 104604
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FAQs on GCF of Fractions of 98/12, 887/69, 250/758
1. What is the HCF of 98,887,250?
The HCF of 98,887,250 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 98/12, 887/69, 250/758?
Answer: GCF of Numerators as per given numbers 98/12, 887/69, 250/758 is
GCF of Numerators i.e. for 98,887,250 is 1
LCM of denominators i.e. for 12,69,758 is 104604.
Thus, GCF of Fractions is 1/104604.Finally, GCF of Fractions for 98/12, 887/69, 250/758 is 1/104604.