GCF of 976/88, 392/9200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 976/88, 392/9200 i.e 8/101200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/88, 392/9200.
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 976/88,392/9200?
Given fractions are 976/88,392/9200
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 976/88,392/9200, numerators are 976,392
Denominators are 88,9200
The GCF of 976,392 is 8 .
LCM of 88,9200 is 101200.
The greatest common factor of 976/88,392/9200 = [GCF of 976,392]/[LCM of 88,9200]= 8/101200
Therefore, the GCF of 976/88,392/9200 is 8/101200.
To find the highest common factor of 976,392, we have to find the factors of both numbers and list the highest common factor.
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The HCF of 976,392 is 8.
Lets's calculate GCF of 976,392
| 2 | 976, 392 |
| 2 | 488, 196 |
| 2 | 244, 98 |
| 122, 49 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 976,392 By Matching Biggest Common Factor Method
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 976,392 . The biggest common factor number is the GCF number.
So the greatest common factor 976,392 is 8.
Lets's calculate LCM of 88,9200
| 2 | 88, 9200 |
| 2 | 44, 4600 |
| 2 | 22, 2300 |
| 11, 1150 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 1150 = 101200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/101200
Therefore, the GCF of Fractions 976/88,392/9200 is 8/101200
Least Common Multiple of 88,9200 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 88,9200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,9200) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(88,9200) x common factors =8 x 1 = 8
LCM(88,9200) = ( 88 × 9200 ) / 8
LCM(88,9200) = 809600 / 8
LCM(88,9200) = 101200
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FAQs on GCF of Fractions of 976/88, 392/9200
1. What is the HCF of 976,392?
The HCF of 976,392 is 8
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 976/88, 392/9200?
Answer: GCF of Numerators as per given numbers 976/88, 392/9200 is
GCF of Numerators i.e. for 976,392 is 8
LCM of denominators i.e. for 88,9200 is 101200.
Thus, GCF of Fractions is 8/101200.Finally, GCF of Fractions for 976/88, 392/9200 is 8/101200.