How to Find GCF of 78/940, 526/469, 348/384?

GCF of 78/940, 526/469, 348/384

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 78/940, 526/469, 348/384 i.e 2/42322560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/940, 526/469, 348/384.

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 78/940,526/469,348/384?

Given fractions are 78/940,526/469,348/384

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 78/940,526/469,348/384, numerators are 78,526,348

Denominators are 940,469,384

The GCF of 78,526,348 is 2 .

LCM of 940,469,384 is 42322560.

The greatest common factor of 78/940,526/469,348/384 = [GCF of 78,526,348]/[LCM of 940,469,384]= 2/42322560

Therefore, the GCF of 78/940,526/469,348/384 is 2/42322560.

Greatest Common Factor of 78,526,348

To find the highest common factor of 78,526,348, we have to find the factors of both numbers and list the highest common factor.

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The factors of 526 are 1, 2, 263, 526

The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

The HCF of 78,526,348 is 2.

Lets's calculate GCF of 78,526,348

Greatest Common Factor (GCF) of 78,526,348 By Common Division

2	78, 526, 348
	39, 263, 174

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 78,526,348 By Matching Biggest Common Factor Method

Now, list down the factors of 78

1,2,3,6,13,26,39,78

Now, list down the factors of 526

1,2,263,526

Now, list down the factors of 348

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 78,526,348 . The biggest common factor number is the GCF number.
So the greatest common factor 78,526,348 is 2.

Lets's calculate LCM of 940,469,384

Lowest Common Multiple of 940,469,384 using Common Division

2	940, 469, 384
2	470, 469, 192
	235, 469, 96

∴ So the LCM of the given numbers is 2 x 2 x 235 x 469 x 96 = 42322560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42322560

Therefore, the GCF of Fractions 78/940,526/469,348/384 is 2/42322560

Least Common Multiple of 940,469,384 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 940,469,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,469,384) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(940,469,384) x common factors =1 x 4 = 4

LCM(940,469,384) = ( 940 × 469 × 384 ) / 4

LCM(940,469,384) = 169290240 / 4

LCM(940,469,384) = 42322560

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 78/940, 526/469, 348/384

1. What is the HCF of 78,526,348?

The HCF of 78,526,348 is 2

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 78/940, 526/469, 348/384?

Answer: GCF of Numerators as per given numbers 78/940, 526/469, 348/384 is

GCF of Numerators i.e. for 78,526,348 is 2

LCM of denominators i.e. for 940,469,384 is 42322560.

Thus, GCF of Fractions is 2/42322560.Finally, GCF of Fractions for 78/940, 526/469, 348/384 is 2/42322560.