GCF of 7972/677, 9472/7275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7972/677, 9472/7275 i.e 4/4925175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7972/677, 9472/7275.
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 7972/677,9472/7275?
Given fractions are 7972/677,9472/7275
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 7972/677,9472/7275, numerators are 7972,9472
Denominators are 677,7275
The GCF of 7972,9472 is 4 .
LCM of 677,7275 is 4925175.
The greatest common factor of 7972/677,9472/7275 = [GCF of 7972,9472]/[LCM of 677,7275]= 4/4925175
Therefore, the GCF of 7972/677,9472/7275 is 4/4925175.
To find the highest common factor of 7972,9472, we have to find the factors of both numbers and list the highest common factor.
The factors of 7972 are 1, 2, 4, 1993, 3986, 7972
The factors of 9472 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472
The HCF of 7972,9472 is 4.
Lets's calculate GCF of 7972,9472
| 2 | 7972, 9472 |
| 2 | 3986, 4736 |
| 1993, 2368 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7972,9472 By Matching Biggest Common Factor Method
Now, list down the factors of 7972
:1,2,4,1993,3986,7972
Now, list down the factors of 9472
:1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472
Greatest Common Factor
We found the factors 7972,9472 . The biggest common factor number is the GCF number.
So the greatest common factor 7972,9472 is 4.
Lets's calculate LCM of 677,7275
Given numbers has no common factors except 1. So, there LCM is their product i.e 4925175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4925175
Therefore, the GCF of Fractions 7972/677,9472/7275 is 4/4925175
Least Common Multiple of 677,7275 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 677,7275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,7275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,7275) x common factors =1 x 1 = 1
LCM(677,7275) = ( 677 × 7275 ) / 1
LCM(677,7275) = 4925175 / 1
LCM(677,7275) = 4925175
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FAQs on GCF of Fractions of 7972/677, 9472/7275
1. What is the HCF of 7972,9472?
The HCF of 7972,9472 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 7972/677, 9472/7275?
Answer: GCF of Numerators as per given numbers 7972/677, 9472/7275 is
GCF of Numerators i.e. for 7972,9472 is 4
LCM of denominators i.e. for 677,7275 is 4925175.
Thus, GCF of Fractions is 4/4925175.Finally, GCF of Fractions for 7972/677, 9472/7275 is 4/4925175.