How to Find GCF of 3474/525, 4726/841?

GCF of 3474/525, 4726/841

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 3474/525, 4726/841 i.e 2/441525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3474/525, 4726/841.

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 3474/525,4726/841?

Given fractions are 3474/525,4726/841

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 3474/525,4726/841, numerators are 3474,4726

Denominators are 525,841

The GCF of 3474,4726 is 2 .

LCM of 525,841 is 441525.

The greatest common factor of 3474/525,4726/841 = [GCF of 3474,4726]/[LCM of 525,841]= 2/441525

Therefore, the GCF of 3474/525,4726/841 is 2/441525.

Greatest Common Factor of 3474,4726

To find the highest common factor of 3474,4726, we have to find the factors of both numbers and list the highest common factor.

The factors of 3474 are 1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474

The factors of 4726 are 1, 2, 17, 34, 139, 278, 2363, 4726

The HCF of 3474,4726 is 2.

Lets's calculate GCF of 3474,4726

Greatest Common Factor (GCF) of 3474,4726 By Common Division

2	3474, 4726
	1737, 2363

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

Greatest Common Factor of 3474,4726 By Matching Biggest Common Factor Method

Now, list down the factors of 3474

1,2,3,6,9,18,193,386,579,1158,1737,3474

Now, list down the factors of 4726

1,2,17,34,139,278,2363,4726

Greatest Common Factor

We found the factors 3474,4726 . The biggest common factor number is the GCF number.
So the greatest common factor 3474,4726 is 2.

Lets's calculate LCM of 525,841

Lowest Common Multiple of 525,841 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 441525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/441525

Therefore, the GCF of Fractions 3474/525,4726/841 is 2/441525

Least Common Multiple of 525,841 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 525,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,841) = 1

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

GCF(525,841) x common factors =1 x 1 = 1

LCM(525,841) = ( 525 × 841 ) / 1

LCM(525,841) = 441525 / 1

LCM(525,841) = 441525

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FAQs on GCF of Fractions of 3474/525, 4726/841

1. What is the HCF of 3474,4726?

The HCF of 3474,4726 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 3474/525, 4726/841?

Answer: GCF of Numerators as per given numbers 3474/525, 4726/841 is

GCF of Numerators i.e. for 3474,4726 is 2

LCM of denominators i.e. for 525,841 is 441525.

Thus, GCF of Fractions is 2/441525.Finally, GCF of Fractions for 3474/525, 4726/841 is 2/441525.