GCF of 3098/562, 9272/874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3098/562, 9272/874 i.e 2/245594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3098/562, 9272/874.
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 3098/562,9272/874?
Given fractions are 3098/562,9272/874
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 3098/562,9272/874, numerators are 3098,9272
Denominators are 562,874
The GCF of 3098,9272 is 2 .
LCM of 562,874 is 245594.
The greatest common factor of 3098/562,9272/874 = [GCF of 3098,9272]/[LCM of 562,874]= 2/245594
Therefore, the GCF of 3098/562,9272/874 is 2/245594.
To find the highest common factor of 3098,9272, we have to find the factors of both numbers and list the highest common factor.
The factors of 3098 are 1, 2, 1549, 3098
The factors of 9272 are 1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272
The HCF of 3098,9272 is 2.
Lets's calculate GCF of 3098,9272
| 2 | 3098, 9272 |
| 1549, 4636 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3098,9272 By Matching Biggest Common Factor Method
Now, list down the factors of 3098
:1,2,1549,3098
Now, list down the factors of 9272
:1,2,4,8,19,38,61,76,122,152,244,488,1159,2318,4636,9272
Greatest Common Factor
We found the factors 3098,9272 . The biggest common factor number is the GCF number.
So the greatest common factor 3098,9272 is 2.
Lets's calculate LCM of 562,874
| 2 | 562, 874 |
| 281, 437 |
∴ So the LCM of the given numbers is 2 x 281 x 437 = 245594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/245594
Therefore, the GCF of Fractions 3098/562,9272/874 is 2/245594
Least Common Multiple of 562,874 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 562,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,874) x common factors =2 x 1 = 2
LCM(562,874) = ( 562 × 874 ) / 2
LCM(562,874) = 491188 / 2
LCM(562,874) = 245594
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FAQs on GCF of Fractions of 3098/562, 9272/874
1. What is the HCF of 3098,9272?
The HCF of 3098,9272 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 3098/562, 9272/874?
Answer: GCF of Numerators as per given numbers 3098/562, 9272/874 is
GCF of Numerators i.e. for 3098,9272 is 2
LCM of denominators i.e. for 562,874 is 245594.
Thus, GCF of Fractions is 2/245594.Finally, GCF of Fractions for 3098/562, 9272/874 is 2/245594.