GCF of 1949/691, 7300/8270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1949/691, 7300/8270 i.e 1/5714570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1949/691, 7300/8270.
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 1949/691,7300/8270?
Given fractions are 1949/691,7300/8270
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 1949/691,7300/8270, numerators are 1949,7300
Denominators are 691,8270
The GCF of 1949,7300 is 1 .
LCM of 691,8270 is 5714570.
The greatest common factor of 1949/691,7300/8270 = [GCF of 1949,7300]/[LCM of 691,8270]= 1/5714570
Therefore, the GCF of 1949/691,7300/8270 is 1/5714570.
To find the highest common factor of 1949,7300, we have to find the factors of both numbers and list the highest common factor.
The factors of 1949 are 1, 1949
The factors of 7300 are 1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650, 7300
The HCF of 1949,7300 is 1.
Lets's calculate GCF of 1949,7300
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1949,7300 By Matching Biggest Common Factor Method
Now, list down the factors of 1949
:1,1949
Now, list down the factors of 7300
:1,2,4,5,10,20,25,50,73,100,146,292,365,730,1460,1825,3650,7300
Greatest Common Factor
We found the factors 1949,7300 . The biggest common factor number is the GCF number.
So the greatest common factor 1949,7300 is 1.
Lets's calculate LCM of 691,8270
Given numbers has no common factors except 1. So, there LCM is their product i.e 5714570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5714570
Therefore, the GCF of Fractions 1949/691,7300/8270 is 1/5714570
Least Common Multiple of 691,8270 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 691,8270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,8270) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,8270) x common factors =1 x 1 = 1
LCM(691,8270) = ( 691 × 8270 ) / 1
LCM(691,8270) = 5714570 / 1
LCM(691,8270) = 5714570
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FAQs on GCF of Fractions of 1949/691, 7300/8270
1. What is the HCF of 1949,7300?
The HCF of 1949,7300 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 1949/691, 7300/8270?
Answer: GCF of Numerators as per given numbers 1949/691, 7300/8270 is
GCF of Numerators i.e. for 1949,7300 is 1
LCM of denominators i.e. for 691,8270 is 5714570.
Thus, GCF of Fractions is 1/5714570.Finally, GCF of Fractions for 1949/691, 7300/8270 is 1/5714570.