How to Find GCF of 740/897, 3414/725?

GCF of 740/897, 3414/725

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 740/897, 3414/725 i.e 2/650325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 740/897, 3414/725.

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 740/897,3414/725?

Given fractions are 740/897,3414/725

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 740/897,3414/725, numerators are 740,3414

Denominators are 897,725

The GCF of 740,3414 is 2 .

LCM of 897,725 is 650325.

The greatest common factor of 740/897,3414/725 = [GCF of 740,3414]/[LCM of 897,725]= 2/650325

Therefore, the GCF of 740/897,3414/725 is 2/650325.

Greatest Common Factor of 740,3414

To find the highest common factor of 740,3414, we have to find the factors of both numbers and list the highest common factor.

The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

The factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414

The HCF of 740,3414 is 2.

Lets's calculate GCF of 740,3414

Greatest Common Factor (GCF) of 740,3414 By Common Division

2	740, 3414
	370, 1707

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

Greatest Common Factor of 740,3414 By Matching Biggest Common Factor Method

Now, list down the factors of 740

1,2,4,5,10,20,37,74,148,185,370,740

Now, list down the factors of 3414

1,2,3,6,569,1138,1707,3414

Greatest Common Factor

We found the factors 740,3414 . The biggest common factor number is the GCF number.
So the greatest common factor 740,3414 is 2.

Lets's calculate LCM of 897,725

Lowest Common Multiple of 897,725 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 650325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/650325

Therefore, the GCF of Fractions 740/897,3414/725 is 2/650325

Least Common Multiple of 897,725 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 897,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,725) = 1

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

GCF(897,725) x common factors =1 x 1 = 1

LCM(897,725) = ( 897 × 725 ) / 1

LCM(897,725) = 650325 / 1

LCM(897,725) = 650325

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FAQs on GCF of Fractions of 740/897, 3414/725

1. What is the HCF of 740,3414?

The HCF of 740,3414 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 740/897, 3414/725?

Answer: GCF of Numerators as per given numbers 740/897, 3414/725 is

GCF of Numerators i.e. for 740,3414 is 2

LCM of denominators i.e. for 897,725 is 650325.

Thus, GCF of Fractions is 2/650325.Finally, GCF of Fractions for 740/897, 3414/725 is 2/650325.