GCF of 6548/194, 7150/7998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6548/194, 7150/7998 i.e 2/775806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6548/194, 7150/7998.
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 6548/194,7150/7998?
Given fractions are 6548/194,7150/7998
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 6548/194,7150/7998, numerators are 6548,7150
Denominators are 194,7998
The GCF of 6548,7150 is 2 .
LCM of 194,7998 is 775806.
The greatest common factor of 6548/194,7150/7998 = [GCF of 6548,7150]/[LCM of 194,7998]= 2/775806
Therefore, the GCF of 6548/194,7150/7998 is 2/775806.
To find the highest common factor of 6548,7150, we have to find the factors of both numbers and list the highest common factor.
The factors of 6548 are 1, 2, 4, 1637, 3274, 6548
The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
The HCF of 6548,7150 is 2.
Lets's calculate GCF of 6548,7150
| 2 | 6548, 7150 |
| 3274, 3575 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6548,7150 By Matching Biggest Common Factor Method
Now, list down the factors of 6548
:1,2,4,1637,3274,6548
Now, list down the factors of 7150
:1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Greatest Common Factor
We found the factors 6548,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 6548,7150 is 2.
Lets's calculate LCM of 194,7998
| 2 | 194, 7998 |
| 97, 3999 |
∴ So the LCM of the given numbers is 2 x 97 x 3999 = 775806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/775806
Therefore, the GCF of Fractions 6548/194,7150/7998 is 2/775806
Least Common Multiple of 194,7998 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 194,7998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,7998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,7998) x common factors =2 x 1 = 2
LCM(194,7998) = ( 194 × 7998 ) / 2
LCM(194,7998) = 1551612 / 2
LCM(194,7998) = 775806
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FAQs on GCF of Fractions of 6548/194, 7150/7998
1. What is the HCF of 6548,7150?
The HCF of 6548,7150 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 6548/194, 7150/7998?
Answer: GCF of Numerators as per given numbers 6548/194, 7150/7998 is
GCF of Numerators i.e. for 6548,7150 is 2
LCM of denominators i.e. for 194,7998 is 775806.
Thus, GCF of Fractions is 2/775806.Finally, GCF of Fractions for 6548/194, 7150/7998 is 2/775806.