GCF of 6541/298, 1798/6998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6541/298, 1798/6998 i.e 31/1042702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6541/298, 1798/6998.
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 6541/298,1798/6998?
Given fractions are 6541/298,1798/6998
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 6541/298,1798/6998, numerators are 6541,1798
Denominators are 298,6998
The GCF of 6541,1798 is 31 .
LCM of 298,6998 is 1042702.
The greatest common factor of 6541/298,1798/6998 = [GCF of 6541,1798]/[LCM of 298,6998]= 31/1042702
Therefore, the GCF of 6541/298,1798/6998 is 31/1042702.
To find the highest common factor of 6541,1798, we have to find the factors of both numbers and list the highest common factor.
The factors of 6541 are 1, 31, 211, 6541
The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798
The HCF of 6541,1798 is 31.
Lets's calculate GCF of 6541,1798
| 31 | 6541, 1798 |
| 211, 58 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 6541,1798 By Matching Biggest Common Factor Method
Now, list down the factors of 6541
:1,31,211,6541
Now, list down the factors of 1798
:1,2,29,31,58,62,899,1798
Greatest Common Factor
We found the factors 6541,1798 . The biggest common factor number is the GCF number.
So the greatest common factor 6541,1798 is 31.
Lets's calculate LCM of 298,6998
| 2 | 298, 6998 |
| 149, 3499 |
∴ So the LCM of the given numbers is 2 x 149 x 3499 = 1042702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/1042702
Therefore, the GCF of Fractions 6541/298,1798/6998 is 31/1042702
Least Common Multiple of 298,6998 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 298,6998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,6998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,6998) x common factors =2 x 1 = 2
LCM(298,6998) = ( 298 × 6998 ) / 2
LCM(298,6998) = 2085404 / 2
LCM(298,6998) = 1042702
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FAQs on GCF of Fractions of 6541/298, 1798/6998
1. What is the HCF of 6541,1798?
The HCF of 6541,1798 is 31
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 6541/298, 1798/6998?
Answer: GCF of Numerators as per given numbers 6541/298, 1798/6998 is
GCF of Numerators i.e. for 6541,1798 is 31
LCM of denominators i.e. for 298,6998 is 1042702.
Thus, GCF of Fractions is 31/1042702.Finally, GCF of Fractions for 6541/298, 1798/6998 is 31/1042702.