GCF of 6949/757, 7553/6580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6949/757, 7553/6580 i.e 1/4981060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6949/757, 7553/6580.
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 6949/757,7553/6580?
Given fractions are 6949/757,7553/6580
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 6949/757,7553/6580, numerators are 6949,7553
Denominators are 757,6580
The GCF of 6949,7553 is 1 .
LCM of 757,6580 is 4981060.
The greatest common factor of 6949/757,7553/6580 = [GCF of 6949,7553]/[LCM of 757,6580]= 1/4981060
Therefore, the GCF of 6949/757,7553/6580 is 1/4981060.
To find the highest common factor of 6949,7553, we have to find the factors of both numbers and list the highest common factor.
The factors of 6949 are 1, 6949
The factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553
The HCF of 6949,7553 is 1.
Lets's calculate GCF of 6949,7553
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6949,7553 By Matching Biggest Common Factor Method
Now, list down the factors of 6949
:1,6949
Now, list down the factors of 7553
:1,7,13,83,91,581,1079,7553
Greatest Common Factor
We found the factors 6949,7553 . The biggest common factor number is the GCF number.
So the greatest common factor 6949,7553 is 1.
Lets's calculate LCM of 757,6580
Given numbers has no common factors except 1. So, there LCM is their product i.e 4981060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4981060
Therefore, the GCF of Fractions 6949/757,7553/6580 is 1/4981060
Least Common Multiple of 757,6580 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 757,6580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,6580) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,6580) x common factors =1 x 1 = 1
LCM(757,6580) = ( 757 × 6580 ) / 1
LCM(757,6580) = 4981060 / 1
LCM(757,6580) = 4981060
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FAQs on GCF of Fractions of 6949/757, 7553/6580
1. What is the HCF of 6949,7553?
The HCF of 6949,7553 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 6949/757, 7553/6580?
Answer: GCF of Numerators as per given numbers 6949/757, 7553/6580 is
GCF of Numerators i.e. for 6949,7553 is 1
LCM of denominators i.e. for 757,6580 is 4981060.
Thus, GCF of Fractions is 1/4981060.Finally, GCF of Fractions for 6949/757, 7553/6580 is 1/4981060.