GCF of 7724/742, 7276/9461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7724/742, 7276/9461 i.e 4/7020062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7724/742, 7276/9461.
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 7724/742,7276/9461?
Given fractions are 7724/742,7276/9461
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 7724/742,7276/9461, numerators are 7724,7276
Denominators are 742,9461
The GCF of 7724,7276 is 4 .
LCM of 742,9461 is 7020062.
The greatest common factor of 7724/742,7276/9461 = [GCF of 7724,7276]/[LCM of 742,9461]= 4/7020062
Therefore, the GCF of 7724/742,7276/9461 is 4/7020062.
To find the highest common factor of 7724,7276, we have to find the factors of both numbers and list the highest common factor.
The factors of 7724 are 1, 2, 4, 1931, 3862, 7724
The factors of 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276
The HCF of 7724,7276 is 4.
Lets's calculate GCF of 7724,7276
| 2 | 7724, 7276 |
| 2 | 3862, 3638 |
| 1931, 1819 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7724,7276 By Matching Biggest Common Factor Method
Now, list down the factors of 7724
:1,2,4,1931,3862,7724
Now, list down the factors of 7276
:1,2,4,17,34,68,107,214,428,1819,3638,7276
Greatest Common Factor
We found the factors 7724,7276 . The biggest common factor number is the GCF number.
So the greatest common factor 7724,7276 is 4.
Lets's calculate LCM of 742,9461
Given numbers has no common factors except 1. So, there LCM is their product i.e 7020062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7020062
Therefore, the GCF of Fractions 7724/742,7276/9461 is 4/7020062
Least Common Multiple of 742,9461 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 742,9461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,9461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,9461) x common factors =1 x 1 = 1
LCM(742,9461) = ( 742 × 9461 ) / 1
LCM(742,9461) = 7020062 / 1
LCM(742,9461) = 7020062
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FAQs on GCF of Fractions of 7724/742, 7276/9461
1. What is the HCF of 7724,7276?
The HCF of 7724,7276 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 7724/742, 7276/9461?
Answer: GCF of Numerators as per given numbers 7724/742, 7276/9461 is
GCF of Numerators i.e. for 7724,7276 is 4
LCM of denominators i.e. for 742,9461 is 7020062.
Thus, GCF of Fractions is 4/7020062.Finally, GCF of Fractions for 7724/742, 7276/9461 is 4/7020062.