GCF of 98/930, 755/225, 504/836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/930, 755/225, 504/836 i.e 1/5831100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/930, 755/225, 504/836.
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 98/930,755/225,504/836?
Given fractions are 98/930,755/225,504/836
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 98/930,755/225,504/836, numerators are 98,755,504
Denominators are 930,225,836
The GCF of 98,755,504 is 1 .
LCM of 930,225,836 is 5831100.
The greatest common factor of 98/930,755/225,504/836 = [GCF of 98,755,504]/[LCM of 930,225,836]= 1/5831100
Therefore, the GCF of 98/930,755/225,504/836 is 1/5831100.
To find the highest common factor of 98,755,504, 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 755 are 1, 5, 151, 755
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The HCF of 98,755,504 is 1.
Lets's calculate GCF of 98,755,504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 98,755,504 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 755
:1,5,151,755
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 98,755,504 . The biggest common factor number is the GCF number.
So the greatest common factor 98,755,504 is 1.
Lets's calculate LCM of 930,225,836
| 2 | 930, 225, 836 |
| 3 | 465, 225, 418 |
| 5 | 155, 75, 418 |
| 31, 15, 418 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 15 x 418 = 5831100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5831100
Therefore, the GCF of Fractions 98/930,755/225,504/836 is 1/5831100
Least Common Multiple of 930,225,836 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 930,225,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,225,836) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(930,225,836) x common factors =1 x 30 = 30
LCM(930,225,836) = ( 930 × 225 × 836 ) / 30
LCM(930,225,836) = 174933000 / 30
LCM(930,225,836) = 5831100
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FAQs on GCF of Fractions of 98/930, 755/225, 504/836
1. What is the HCF of 98,755,504?
The HCF of 98,755,504 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 98/930, 755/225, 504/836?
Answer: GCF of Numerators as per given numbers 98/930, 755/225, 504/836 is
GCF of Numerators i.e. for 98,755,504 is 1
LCM of denominators i.e. for 930,225,836 is 5831100.
Thus, GCF of Fractions is 1/5831100.Finally, GCF of Fractions for 98/930, 755/225, 504/836 is 1/5831100.