GCF of 4901/690, 7510/461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4901/690, 7510/461 i.e 1/318090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4901/690, 7510/461.
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 4901/690,7510/461?
Given fractions are 4901/690,7510/461
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 4901/690,7510/461, numerators are 4901,7510
Denominators are 690,461
The GCF of 4901,7510 is 1 .
LCM of 690,461 is 318090.
The greatest common factor of 4901/690,7510/461 = [GCF of 4901,7510]/[LCM of 690,461]= 1/318090
Therefore, the GCF of 4901/690,7510/461 is 1/318090.
To find the highest common factor of 4901,7510, we have to find the factors of both numbers and list the highest common factor.
The factors of 4901 are 1, 13, 29, 169, 377, 4901
The factors of 7510 are 1, 2, 5, 10, 751, 1502, 3755, 7510
The HCF of 4901,7510 is 1.
Lets's calculate GCF of 4901,7510
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4901,7510 By Matching Biggest Common Factor Method
Now, list down the factors of 4901
:1,13,29,169,377,4901
Now, list down the factors of 7510
:1,2,5,10,751,1502,3755,7510
Greatest Common Factor
We found the factors 4901,7510 . The biggest common factor number is the GCF number.
So the greatest common factor 4901,7510 is 1.
Lets's calculate LCM of 690,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 318090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318090
Therefore, the GCF of Fractions 4901/690,7510/461 is 1/318090
Least Common Multiple of 690,461 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 690,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(690,461) x common factors =1 x 1 = 1
LCM(690,461) = ( 690 × 461 ) / 1
LCM(690,461) = 318090 / 1
LCM(690,461) = 318090
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FAQs on GCF of Fractions of 4901/690, 7510/461
1. What is the HCF of 4901,7510?
The HCF of 4901,7510 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 4901/690, 7510/461?
Answer: GCF of Numerators as per given numbers 4901/690, 7510/461 is
GCF of Numerators i.e. for 4901,7510 is 1
LCM of denominators i.e. for 690,461 is 318090.
Thus, GCF of Fractions is 1/318090.Finally, GCF of Fractions for 4901/690, 7510/461 is 1/318090.