GCF of 4924/199, 7098/6158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4924/199, 7098/6158 i.e 2/1225442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4924/199, 7098/6158.
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 4924/199,7098/6158?
Given fractions are 4924/199,7098/6158
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 4924/199,7098/6158, numerators are 4924,7098
Denominators are 199,6158
The GCF of 4924,7098 is 2 .
LCM of 199,6158 is 1225442.
The greatest common factor of 4924/199,7098/6158 = [GCF of 4924,7098]/[LCM of 199,6158]= 2/1225442
Therefore, the GCF of 4924/199,7098/6158 is 2/1225442.
To find the highest common factor of 4924,7098, we have to find the factors of both numbers and list the highest common factor.
The factors of 4924 are 1, 2, 4, 1231, 2462, 4924
The factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098
The HCF of 4924,7098 is 2.
Lets's calculate GCF of 4924,7098
| 2 | 4924, 7098 |
| 2462, 3549 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4924,7098 By Matching Biggest Common Factor Method
Now, list down the factors of 4924
:1,2,4,1231,2462,4924
Now, list down the factors of 7098
:1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098
Greatest Common Factor
We found the factors 4924,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 4924,7098 is 2.
Lets's calculate LCM of 199,6158
Given numbers has no common factors except 1. So, there LCM is their product i.e 1225442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1225442
Therefore, the GCF of Fractions 4924/199,7098/6158 is 2/1225442
Least Common Multiple of 199,6158 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 199,6158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,6158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,6158) x common factors =1 x 1 = 1
LCM(199,6158) = ( 199 × 6158 ) / 1
LCM(199,6158) = 1225442 / 1
LCM(199,6158) = 1225442
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FAQs on GCF of Fractions of 4924/199, 7098/6158
1. What is the HCF of 4924,7098?
The HCF of 4924,7098 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 4924/199, 7098/6158?
Answer: GCF of Numerators as per given numbers 4924/199, 7098/6158 is
GCF of Numerators i.e. for 4924,7098 is 2
LCM of denominators i.e. for 199,6158 is 1225442.
Thus, GCF of Fractions is 2/1225442.Finally, GCF of Fractions for 4924/199, 7098/6158 is 2/1225442.