How to Find GCF of 67/775, 1742/4642?

GCF of 67/775, 1742/4642

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 67/775, 1742/4642 i.e 67/3597550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/775, 1742/4642.

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 67/775,1742/4642?

Given fractions are 67/775,1742/4642

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 67/775,1742/4642, numerators are 67,1742

Denominators are 775,4642

The GCF of 67,1742 is 67 .

LCM of 775,4642 is 3597550.

The greatest common factor of 67/775,1742/4642 = [GCF of 67,1742]/[LCM of 775,4642]= 67/3597550

Therefore, the GCF of 67/775,1742/4642 is 67/3597550.

Greatest Common Factor of 67,1742

To find the highest common factor of 67,1742, we have to find the factors of both numbers and list the highest common factor.

The factors of 67 are 1, 67

The factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742

The HCF of 67,1742 is 67.

Lets's calculate GCF of 67,1742

Greatest Common Factor (GCF) of 67,1742 By Common Division

67	67, 1742
	1, 26

∴ So the GCF of the given numbers is 67 = 67

Greatest Common Factor of 67,1742 By Matching Biggest Common Factor Method

Now, list down the factors of 67

1,67

Now, list down the factors of 1742

1,2,13,26,67,134,871,1742

Greatest Common Factor

We found the factors 67,1742 . The biggest common factor number is the GCF number.
So the greatest common factor 67,1742 is 67.

Lets's calculate LCM of 775,4642

Lowest Common Multiple of 775,4642 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3597550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/3597550

Therefore, the GCF of Fractions 67/775,1742/4642 is 67/3597550

Least Common Multiple of 775,4642 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 775,4642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,4642) = 1

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

GCF(775,4642) x common factors =1 x 1 = 1

LCM(775,4642) = ( 775 × 4642 ) / 1

LCM(775,4642) = 3597550 / 1

LCM(775,4642) = 3597550

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FAQs on GCF of Fractions of 67/775, 1742/4642

1. What is the HCF of 67,1742?

The HCF of 67,1742 is 67

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 67/775, 1742/4642?

Answer: GCF of Numerators as per given numbers 67/775, 1742/4642 is

GCF of Numerators i.e. for 67,1742 is 67

LCM of denominators i.e. for 775,4642 is 3597550.

Thus, GCF of Fractions is 67/3597550.Finally, GCF of Fractions for 67/775, 1742/4642 is 67/3597550.