GCF of 548/140, 972/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 548/140, 972/916 i.e 4/32060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/140, 972/916.
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 548/140,972/916?
Given fractions are 548/140,972/916
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 548/140,972/916, numerators are 548,972
Denominators are 140,916
The GCF of 548,972 is 4 .
LCM of 140,916 is 32060.
The greatest common factor of 548/140,972/916 = [GCF of 548,972]/[LCM of 140,916]= 4/32060
Therefore, the GCF of 548/140,972/916 is 4/32060.
To find the highest common factor of 548,972, we have to find the factors of both numbers and list the highest common factor.
The factors of 548 are 1, 2, 4, 137, 274, 548
The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
The HCF of 548,972 is 4.
Lets's calculate GCF of 548,972
| 2 | 548, 972 |
| 2 | 274, 486 |
| 137, 243 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 548,972 By Matching Biggest Common Factor Method
Now, list down the factors of 548
:1,2,4,137,274,548
Now, list down the factors of 972
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 548,972 . The biggest common factor number is the GCF number.
So the greatest common factor 548,972 is 4.
Lets's calculate LCM of 140,916
| 2 | 140, 916 |
| 2 | 70, 458 |
| 35, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 35 x 229 = 32060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/32060
Therefore, the GCF of Fractions 548/140,972/916 is 4/32060
Least Common Multiple of 140,916 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 140,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(140,916) x common factors =4 x 1 = 4
LCM(140,916) = ( 140 × 916 ) / 4
LCM(140,916) = 128240 / 4
LCM(140,916) = 32060
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FAQs on GCF of Fractions of 548/140, 972/916
1. What is the HCF of 548,972?
The HCF of 548,972 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 548/140, 972/916?
Answer: GCF of Numerators as per given numbers 548/140, 972/916 is
GCF of Numerators i.e. for 548,972 is 4
LCM of denominators i.e. for 140,916 is 32060.
Thus, GCF of Fractions is 4/32060.Finally, GCF of Fractions for 548/140, 972/916 is 4/32060.