GCF of 6251/224, 5533/6641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6251/224, 5533/6641 i.e 1/1487584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6251/224, 5533/6641.
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 6251/224,5533/6641?
Given fractions are 6251/224,5533/6641
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 6251/224,5533/6641, numerators are 6251,5533
Denominators are 224,6641
The GCF of 6251,5533 is 1 .
LCM of 224,6641 is 1487584.
The greatest common factor of 6251/224,5533/6641 = [GCF of 6251,5533]/[LCM of 224,6641]= 1/1487584
Therefore, the GCF of 6251/224,5533/6641 is 1/1487584.
To find the highest common factor of 6251,5533, we have to find the factors of both numbers and list the highest common factor.
The factors of 6251 are 1, 7, 19, 47, 133, 329, 893, 6251
The factors of 5533 are 1, 11, 503, 5533
The HCF of 6251,5533 is 1.
Lets's calculate GCF of 6251,5533
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6251,5533 By Matching Biggest Common Factor Method
Now, list down the factors of 6251
:1,7,19,47,133,329,893,6251
Now, list down the factors of 5533
:1,11,503,5533
Greatest Common Factor
We found the factors 6251,5533 . The biggest common factor number is the GCF number.
So the greatest common factor 6251,5533 is 1.
Lets's calculate LCM of 224,6641
Given numbers has no common factors except 1. So, there LCM is their product i.e 1487584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1487584
Therefore, the GCF of Fractions 6251/224,5533/6641 is 1/1487584
Least Common Multiple of 224,6641 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 224,6641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,6641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,6641) x common factors =1 x 1 = 1
LCM(224,6641) = ( 224 × 6641 ) / 1
LCM(224,6641) = 1487584 / 1
LCM(224,6641) = 1487584
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FAQs on GCF of Fractions of 6251/224, 5533/6641
1. What is the HCF of 6251,5533?
The HCF of 6251,5533 is 1
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 6251/224, 5533/6641?
Answer: GCF of Numerators as per given numbers 6251/224, 5533/6641 is
GCF of Numerators i.e. for 6251,5533 is 1
LCM of denominators i.e. for 224,6641 is 1487584.
Thus, GCF of Fractions is 1/1487584.Finally, GCF of Fractions for 6251/224, 5533/6641 is 1/1487584.