GCF of 4924/135, 9764/7090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4924/135, 9764/7090 i.e 4/191430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4924/135, 9764/7090.
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 4924/135,9764/7090?
Given fractions are 4924/135,9764/7090
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 4924/135,9764/7090, numerators are 4924,9764
Denominators are 135,7090
The GCF of 4924,9764 is 4 .
LCM of 135,7090 is 191430.
The greatest common factor of 4924/135,9764/7090 = [GCF of 4924,9764]/[LCM of 135,7090]= 4/191430
Therefore, the GCF of 4924/135,9764/7090 is 4/191430.
To find the highest common factor of 4924,9764, we have to find the factors of both numbers and list the highest common factor.
The factors of 4924 are 1, 2, 4, 1231, 2462, 4924
The factors of 9764 are 1, 2, 4, 2441, 4882, 9764
The HCF of 4924,9764 is 4.
Lets's calculate GCF of 4924,9764
| 2 | 4924, 9764 |
| 2 | 2462, 4882 |
| 1231, 2441 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4924,9764 By Matching Biggest Common Factor Method
Now, list down the factors of 4924
:1,2,4,1231,2462,4924
Now, list down the factors of 9764
:1,2,4,2441,4882,9764
Greatest Common Factor
We found the factors 4924,9764 . The biggest common factor number is the GCF number.
So the greatest common factor 4924,9764 is 4.
Lets's calculate LCM of 135,7090
| 5 | 135, 7090 |
| 27, 1418 |
∴ So the LCM of the given numbers is 5 x 27 x 1418 = 191430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/191430
Therefore, the GCF of Fractions 4924/135,9764/7090 is 4/191430
Least Common Multiple of 135,7090 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 135,7090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,7090) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(135,7090) x common factors =5 x 1 = 5
LCM(135,7090) = ( 135 × 7090 ) / 5
LCM(135,7090) = 957150 / 5
LCM(135,7090) = 191430
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FAQs on GCF of Fractions of 4924/135, 9764/7090
1. What is the HCF of 4924,9764?
The HCF of 4924,9764 is 4
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 4924/135, 9764/7090?
Answer: GCF of Numerators as per given numbers 4924/135, 9764/7090 is
GCF of Numerators i.e. for 4924,9764 is 4
LCM of denominators i.e. for 135,7090 is 191430.
Thus, GCF of Fractions is 4/191430.Finally, GCF of Fractions for 4924/135, 9764/7090 is 4/191430.