GCF of 7476/189, 1176/781
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7476/189, 1176/781 i.e 84/147609 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7476/189, 1176/781.
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 7476/189,1176/781?
Given fractions are 7476/189,1176/781
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 7476/189,1176/781, numerators are 7476,1176
Denominators are 189,781
The GCF of 7476,1176 is 84 .
LCM of 189,781 is 147609.
The greatest common factor of 7476/189,1176/781 = [GCF of 7476,1176]/[LCM of 189,781]= 84/147609
Therefore, the GCF of 7476/189,1176/781 is 84/147609.
To find the highest common factor of 7476,1176, we have to find the factors of both numbers and list the highest common factor.
The factors of 7476 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476
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 HCF of 7476,1176 is 84.
Lets's calculate GCF of 7476,1176
| 2 | 7476, 1176 |
| 2 | 3738, 588 |
| 3 | 1869, 294 |
| 7 | 623, 98 |
| 89, 14 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84
Greatest Common Factor of 7476,1176 By Matching Biggest Common Factor Method
Now, list down the factors of 7476
:1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476
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
Greatest Common Factor
We found the factors 7476,1176 . The biggest common factor number is the GCF number.
So the greatest common factor 7476,1176 is 84.
Lets's calculate LCM of 189,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 147609
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 84/147609
Therefore, the GCF of Fractions 7476/189,1176/781 is 84/147609
Least Common Multiple of 189,781 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 189,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,781) x common factors =1 x 1 = 1
LCM(189,781) = ( 189 × 781 ) / 1
LCM(189,781) = 147609 / 1
LCM(189,781) = 147609
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FAQs on GCF of Fractions of 7476/189, 1176/781
1. What is the HCF of 7476,1176?
The HCF of 7476,1176 is 84
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 7476/189, 1176/781?
Answer: GCF of Numerators as per given numbers 7476/189, 1176/781 is
GCF of Numerators i.e. for 7476,1176 is 84
LCM of denominators i.e. for 189,781 is 147609.
Thus, GCF of Fractions is 84/147609.Finally, GCF of Fractions for 7476/189, 1176/781 is 84/147609.