GCF of 979/414, 267/552, 356/531
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 979/414, 267/552, 356/531 i.e 89/97704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 979/414, 267/552, 356/531.
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 979/414,267/552,356/531?
Given fractions are 979/414,267/552,356/531
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 979/414,267/552,356/531, numerators are 979,267,356
Denominators are 414,552,531
The GCF of 979,267,356 is 89 .
LCM of 414,552,531 is 97704.
The greatest common factor of 979/414,267/552,356/531 = [GCF of 979,267,356]/[LCM of 414,552,531]= 89/97704
Therefore, the GCF of 979/414,267/552,356/531 is 89/97704.
To find the highest common factor of 979,267,356, we have to find the factors of both numbers and list the highest common factor.
The factors of 979 are 1, 11, 89, 979
The factors of 267 are 1, 3, 89, 267
The factors of 356 are 1, 2, 4, 89, 178, 356
The HCF of 979,267,356 is 89.
Lets's calculate GCF of 979,267,356
| 89 | 979, 267, 356 |
| 11, 3, 4 |
∴ So the GCF of the given numbers is 89 = 89
Greatest Common Factor of 979,267,356 By Matching Biggest Common Factor Method
Now, list down the factors of 979
:1,11,89,979
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 356
:1,2,4,89,178,356
Greatest Common Factor
We found the factors 979,267,356 . The biggest common factor number is the GCF number.
So the greatest common factor 979,267,356 is 89.
Lets's calculate LCM of 414,552,531
| 2 | 414, 552, 531 |
| 3 | 207, 276, 531 |
| 3 | 69, 92, 177 |
| 23 | 23, 92, 59 |
| 1, 4, 59 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 1 x 4 x 59 = 97704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/97704
Therefore, the GCF of Fractions 979/414,267/552,356/531 is 89/97704
Least Common Multiple of 414,552,531 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 414,552,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,552,531) = 3
common factors(in case of two or more numbers have common factors) = 414
GCF(414,552,531) x common factors =3 x 414 = 1242
LCM(414,552,531) = ( 414 × 552 × 531 ) / 1242
LCM(414,552,531) = 121348368 / 1242
LCM(414,552,531) = 97704
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FAQs on GCF of Fractions of 979/414, 267/552, 356/531
1. What is the HCF of 979,267,356?
The HCF of 979,267,356 is 89
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 979/414, 267/552, 356/531?
Answer: GCF of Numerators as per given numbers 979/414, 267/552, 356/531 is
GCF of Numerators i.e. for 979,267,356 is 89
LCM of denominators i.e. for 414,552,531 is 97704.
Thus, GCF of Fractions is 89/97704.Finally, GCF of Fractions for 979/414, 267/552, 356/531 is 89/97704.