GCF of 1176/658, 9807/8275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1176/658, 9807/8275 i.e 21/5444950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1176/658, 9807/8275.
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 1176/658,9807/8275?
Given fractions are 1176/658,9807/8275
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 1176/658,9807/8275, numerators are 1176,9807
Denominators are 658,8275
The GCF of 1176,9807 is 21 .
LCM of 658,8275 is 5444950.
The greatest common factor of 1176/658,9807/8275 = [GCF of 1176,9807]/[LCM of 658,8275]= 21/5444950
Therefore, the GCF of 1176/658,9807/8275 is 21/5444950.
To find the highest common factor of 1176,9807, we have to find the factors of both numbers and list the highest common factor.
The factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176
The factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807
The HCF of 1176,9807 is 21.
Lets's calculate GCF of 1176,9807
| 3 | 1176, 9807 |
| 7 | 392, 3269 |
| 56, 467 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 1176,9807 By Matching Biggest Common Factor Method
Now, list down the factors of 1176
:1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,392,588,1176
Now, list down the factors of 9807
:1,3,7,21,467,1401,3269,9807
Greatest Common Factor
We found the factors 1176,9807 . The biggest common factor number is the GCF number.
So the greatest common factor 1176,9807 is 21.
Lets's calculate LCM of 658,8275
Given numbers has no common factors except 1. So, there LCM is their product i.e 5444950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/5444950
Therefore, the GCF of Fractions 1176/658,9807/8275 is 21/5444950
Least Common Multiple of 658,8275 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 658,8275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,8275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,8275) x common factors =1 x 1 = 1
LCM(658,8275) = ( 658 × 8275 ) / 1
LCM(658,8275) = 5444950 / 1
LCM(658,8275) = 5444950
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FAQs on GCF of Fractions of 1176/658, 9807/8275
1. What is the HCF of 1176,9807?
The HCF of 1176,9807 is 21
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 1176/658, 9807/8275?
Answer: GCF of Numerators as per given numbers 1176/658, 9807/8275 is
GCF of Numerators i.e. for 1176,9807 is 21
LCM of denominators i.e. for 658,8275 is 5444950.
Thus, GCF of Fractions is 21/5444950.Finally, GCF of Fractions for 1176/658, 9807/8275 is 21/5444950.