How to Find GCF of 840/92, 392/229?

GCF of 840/92, 392/229

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 840/92, 392/229 i.e 56/21068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 840/92, 392/229.

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 840/92,392/229?

Given fractions are 840/92,392/229

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 840/92,392/229, numerators are 840,392

Denominators are 92,229

The GCF of 840,392 is 56 .

LCM of 92,229 is 21068.

The greatest common factor of 840/92,392/229 = [GCF of 840,392]/[LCM of 92,229]= 56/21068

Therefore, the GCF of 840/92,392/229 is 56/21068.

Greatest Common Factor of 840,392

To find the highest common factor of 840,392, we have to find the factors of both numbers and list the highest common factor.

The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

The HCF of 840,392 is 56.

Lets's calculate GCF of 840,392

Greatest Common Factor (GCF) of 840,392 By Common Division

2	840, 392
2	420, 196
2	210, 98
7	105, 49
	15, 7

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Greatest Common Factor of 840,392 By Matching Biggest Common Factor Method

Now, list down the factors of 840

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Now, list down the factors of 392

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 840,392 . The biggest common factor number is the GCF number.
So the greatest common factor 840,392 is 56.

Lets's calculate LCM of 92,229

Lowest Common Multiple of 92,229 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 21068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/21068

Therefore, the GCF of Fractions 840/92,392/229 is 56/21068

Least Common Multiple of 92,229 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 92,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,229) = 1

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

GCF(92,229) x common factors =1 x 1 = 1

LCM(92,229) = ( 92 × 229 ) / 1

LCM(92,229) = 21068 / 1

LCM(92,229) = 21068

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FAQs on GCF of Fractions of 840/92, 392/229

1. What is the HCF of 840,392?

The HCF of 840,392 is 56

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 840/92, 392/229?

Answer: GCF of Numerators as per given numbers 840/92, 392/229 is

GCF of Numerators i.e. for 840,392 is 56

LCM of denominators i.e. for 92,229 is 21068.

Thus, GCF of Fractions is 56/21068.Finally, GCF of Fractions for 840/92, 392/229 is 56/21068.