GCF of 1176/477, 7743/7380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1176/477, 7743/7380 i.e 3/391140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1176/477, 7743/7380.
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 1176/477,7743/7380?
Given fractions are 1176/477,7743/7380
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 1176/477,7743/7380, numerators are 1176,7743
Denominators are 477,7380
The GCF of 1176,7743 is 3 .
LCM of 477,7380 is 391140.
The greatest common factor of 1176/477,7743/7380 = [GCF of 1176,7743]/[LCM of 477,7380]= 3/391140
Therefore, the GCF of 1176/477,7743/7380 is 3/391140.
To find the highest common factor of 1176,7743, 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 7743 are 1, 3, 29, 87, 89, 267, 2581, 7743
The HCF of 1176,7743 is 3.
Lets's calculate GCF of 1176,7743
| 3 | 1176, 7743 |
| 392, 2581 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1176,7743 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 7743
:1,3,29,87,89,267,2581,7743
Greatest Common Factor
We found the factors 1176,7743 . The biggest common factor number is the GCF number.
So the greatest common factor 1176,7743 is 3.
Lets's calculate LCM of 477,7380
| 3 | 477, 7380 |
| 3 | 159, 2460 |
| 53, 820 |
∴ So the LCM of the given numbers is 3 x 3 x 53 x 820 = 391140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/391140
Therefore, the GCF of Fractions 1176/477,7743/7380 is 3/391140
Least Common Multiple of 477,7380 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 477,7380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,7380) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(477,7380) x common factors =9 x 1 = 9
LCM(477,7380) = ( 477 × 7380 ) / 9
LCM(477,7380) = 3520260 / 9
LCM(477,7380) = 391140
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FAQs on GCF of Fractions of 1176/477, 7743/7380
1. What is the HCF of 1176,7743?
The HCF of 1176,7743 is 3
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 1176/477, 7743/7380?
Answer: GCF of Numerators as per given numbers 1176/477, 7743/7380 is
GCF of Numerators i.e. for 1176,7743 is 3
LCM of denominators i.e. for 477,7380 is 391140.
Thus, GCF of Fractions is 3/391140.Finally, GCF of Fractions for 1176/477, 7743/7380 is 3/391140.