GCF of 6253/674, 5069/9092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6253/674, 5069/9092 i.e 37/3064004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6253/674, 5069/9092.
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 6253/674,5069/9092?
Given fractions are 6253/674,5069/9092
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 6253/674,5069/9092, numerators are 6253,5069
Denominators are 674,9092
The GCF of 6253,5069 is 37 .
LCM of 674,9092 is 3064004.
The greatest common factor of 6253/674,5069/9092 = [GCF of 6253,5069]/[LCM of 674,9092]= 37/3064004
Therefore, the GCF of 6253/674,5069/9092 is 37/3064004.
To find the highest common factor of 6253,5069, we have to find the factors of both numbers and list the highest common factor.
The factors of 6253 are 1, 13, 37, 169, 481, 6253
The factors of 5069 are 1, 37, 137, 5069
The HCF of 6253,5069 is 37.
Lets's calculate GCF of 6253,5069
| 37 | 6253, 5069 |
| 169, 137 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 6253,5069 By Matching Biggest Common Factor Method
Now, list down the factors of 6253
:1,13,37,169,481,6253
Now, list down the factors of 5069
:1,37,137,5069
Greatest Common Factor
We found the factors 6253,5069 . The biggest common factor number is the GCF number.
So the greatest common factor 6253,5069 is 37.
Lets's calculate LCM of 674,9092
| 2 | 674, 9092 |
| 337, 4546 |
∴ So the LCM of the given numbers is 2 x 337 x 4546 = 3064004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/3064004
Therefore, the GCF of Fractions 6253/674,5069/9092 is 37/3064004
Least Common Multiple of 674,9092 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 674,9092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,9092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,9092) x common factors =2 x 1 = 2
LCM(674,9092) = ( 674 × 9092 ) / 2
LCM(674,9092) = 6128008 / 2
LCM(674,9092) = 3064004
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FAQs on GCF of Fractions of 6253/674, 5069/9092
1. What is the HCF of 6253,5069?
The HCF of 6253,5069 is 37
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 6253/674, 5069/9092?
Answer: GCF of Numerators as per given numbers 6253/674, 5069/9092 is
GCF of Numerators i.e. for 6253,5069 is 37
LCM of denominators i.e. for 674,9092 is 3064004.
Thus, GCF of Fractions is 37/3064004.Finally, GCF of Fractions for 6253/674, 5069/9092 is 37/3064004.