How to Find GCF of 7342/850, 8307/5648?

GCF of 7342/850, 8307/5648

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 7342/850, 8307/5648 i.e 1/2400400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7342/850, 8307/5648.

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 7342/850,8307/5648?

Given fractions are 7342/850,8307/5648

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 7342/850,8307/5648, numerators are 7342,8307

Denominators are 850,5648

The GCF of 7342,8307 is 1 .

LCM of 850,5648 is 2400400.

The greatest common factor of 7342/850,8307/5648 = [GCF of 7342,8307]/[LCM of 850,5648]= 1/2400400

Therefore, the GCF of 7342/850,8307/5648 is 1/2400400.

Greatest Common Factor of 7342,8307

To find the highest common factor of 7342,8307, we have to find the factors of both numbers and list the highest common factor.

The factors of 7342 are 1, 2, 3671, 7342

The factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307

The HCF of 7342,8307 is 1.

Lets's calculate GCF of 7342,8307

Greatest Common Factor (GCF) of 7342,8307 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7342,8307 By Matching Biggest Common Factor Method

Now, list down the factors of 7342

1,2,3671,7342

Now, list down the factors of 8307

1,3,9,13,39,71,117,213,639,923,2769,8307

Greatest Common Factor

We found the factors 7342,8307 . The biggest common factor number is the GCF number.
So the greatest common factor 7342,8307 is 1.

Lets's calculate LCM of 850,5648

Lowest Common Multiple of 850,5648 using Common Division

2	850, 5648
	425, 2824

∴ So the LCM of the given numbers is 2 x 425 x 2824 = 2400400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2400400

Therefore, the GCF of Fractions 7342/850,8307/5648 is 1/2400400

Least Common Multiple of 850,5648 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 850,5648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,5648) = 2

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

GCF(850,5648) x common factors =2 x 1 = 2

LCM(850,5648) = ( 850 × 5648 ) / 2

LCM(850,5648) = 4800800 / 2

LCM(850,5648) = 2400400

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FAQs on GCF of Fractions of 7342/850, 8307/5648

1. What is the HCF of 7342,8307?

The HCF of 7342,8307 is 1

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 7342/850, 8307/5648?

Answer: GCF of Numerators as per given numbers 7342/850, 8307/5648 is

GCF of Numerators i.e. for 7342,8307 is 1

LCM of denominators i.e. for 850,5648 is 2400400.

Thus, GCF of Fractions is 1/2400400.Finally, GCF of Fractions for 7342/850, 8307/5648 is 1/2400400.