How to Find GCF of 930/189, 3927/785?

GCF of 930/189, 3927/785

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 930/189, 3927/785 i.e 3/148365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 930/189, 3927/785.

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 930/189,3927/785?

Given fractions are 930/189,3927/785

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 930/189,3927/785, numerators are 930,3927

Denominators are 189,785

The GCF of 930,3927 is 3 .

LCM of 189,785 is 148365.

The greatest common factor of 930/189,3927/785 = [GCF of 930,3927]/[LCM of 189,785]= 3/148365

Therefore, the GCF of 930/189,3927/785 is 3/148365.

Greatest Common Factor of 930,3927

To find the highest common factor of 930,3927, we have to find the factors of both numbers and list the highest common factor.

The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

The factors of 3927 are 1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927

The HCF of 930,3927 is 3.

Lets's calculate GCF of 930,3927

Greatest Common Factor (GCF) of 930,3927 By Common Division

3	930, 3927
	310, 1309

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 930,3927 By Matching Biggest Common Factor Method

Now, list down the factors of 930

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Now, list down the factors of 3927

1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927

Greatest Common Factor

We found the factors 930,3927 . The biggest common factor number is the GCF number.
So the greatest common factor 930,3927 is 3.

Lets's calculate LCM of 189,785

Lowest Common Multiple of 189,785 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 148365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/148365

Therefore, the GCF of Fractions 930/189,3927/785 is 3/148365

Least Common Multiple of 189,785 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 189,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,785) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(189,785) x common factors =1 x 1 = 1

LCM(189,785) = ( 189 × 785 ) / 1

LCM(189,785) = 148365 / 1

LCM(189,785) = 148365

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FAQs on GCF of Fractions of 930/189, 3927/785

1. What is the HCF of 930,3927?

The HCF of 930,3927 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 930/189, 3927/785?

Answer: GCF of Numerators as per given numbers 930/189, 3927/785 is

GCF of Numerators i.e. for 930,3927 is 3

LCM of denominators i.e. for 189,785 is 148365.

Thus, GCF of Fractions is 3/148365.Finally, GCF of Fractions for 930/189, 3927/785 is 3/148365.