How to Find GCF of 308/606, 792/878?

GCF of 308/606, 792/878

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 308/606, 792/878 i.e 44/266034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 308/606, 792/878.

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 308/606,792/878?

Given fractions are 308/606,792/878

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 308/606,792/878, numerators are 308,792

Denominators are 606,878

The GCF of 308,792 is 44 .

LCM of 606,878 is 266034.

The greatest common factor of 308/606,792/878 = [GCF of 308,792]/[LCM of 606,878]= 44/266034

Therefore, the GCF of 308/606,792/878 is 44/266034.

Greatest Common Factor of 308,792

To find the highest common factor of 308,792, we have to find the factors of both numbers and list the highest common factor.

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

The HCF of 308,792 is 44.

Lets's calculate GCF of 308,792

Greatest Common Factor (GCF) of 308,792 By Common Division

2	308, 792
2	154, 396
11	77, 198
	7, 18

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 308,792 By Matching Biggest Common Factor Method

Now, list down the factors of 308

1,2,4,7,11,14,22,28,44,77,154,308

Now, list down the factors of 792

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 308,792 . The biggest common factor number is the GCF number.
So the greatest common factor 308,792 is 44.

Lets's calculate LCM of 606,878

Lowest Common Multiple of 606,878 using Common Division

2	606, 878
	303, 439

∴ So the LCM of the given numbers is 2 x 303 x 439 = 266034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/266034

Therefore, the GCF of Fractions 308/606,792/878 is 44/266034

Least Common Multiple of 606,878 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 606,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,878) = 2

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

GCF(606,878) x common factors =2 x 1 = 2

LCM(606,878) = ( 606 × 878 ) / 2

LCM(606,878) = 532068 / 2

LCM(606,878) = 266034

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FAQs on GCF of Fractions of 308/606, 792/878

1. What is the HCF of 308,792?

The HCF of 308,792 is 44

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 308/606, 792/878?

Answer: GCF of Numerators as per given numbers 308/606, 792/878 is

GCF of Numerators i.e. for 308,792 is 44

LCM of denominators i.e. for 606,878 is 266034.

Thus, GCF of Fractions is 44/266034.Finally, GCF of Fractions for 308/606, 792/878 is 44/266034.