How to Find GCF of 5575/918, 3361/2802?

GCF of 5575/918, 3361/2802

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 5575/918, 3361/2802 i.e 1/428706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5575/918, 3361/2802.

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 5575/918,3361/2802?

Given fractions are 5575/918,3361/2802

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 5575/918,3361/2802, numerators are 5575,3361

Denominators are 918,2802

The GCF of 5575,3361 is 1 .

LCM of 918,2802 is 428706.

The greatest common factor of 5575/918,3361/2802 = [GCF of 5575,3361]/[LCM of 918,2802]= 1/428706

Therefore, the GCF of 5575/918,3361/2802 is 1/428706.

Greatest Common Factor of 5575,3361

To find the highest common factor of 5575,3361, we have to find the factors of both numbers and list the highest common factor.

The factors of 5575 are 1, 5, 25, 223, 1115, 5575

The factors of 3361 are 1, 3361

The HCF of 5575,3361 is 1.

Lets's calculate GCF of 5575,3361

Greatest Common Factor (GCF) of 5575,3361 By Common Division

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

Greatest Common Factor of 5575,3361 By Matching Biggest Common Factor Method

Now, list down the factors of 5575

1,5,25,223,1115,5575

Now, list down the factors of 3361

1,3361

Greatest Common Factor

We found the factors 5575,3361 . The biggest common factor number is the GCF number.
So the greatest common factor 5575,3361 is 1.

Lets's calculate LCM of 918,2802

Lowest Common Multiple of 918,2802 using Common Division

2	918, 2802
3	459, 1401
	153, 467

∴ So the LCM of the given numbers is 2 x 3 x 153 x 467 = 428706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/428706

Therefore, the GCF of Fractions 5575/918,3361/2802 is 1/428706

Least Common Multiple of 918,2802 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 918,2802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,2802) = 6

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

GCF(918,2802) x common factors =6 x 1 = 6

LCM(918,2802) = ( 918 × 2802 ) / 6

LCM(918,2802) = 2572236 / 6

LCM(918,2802) = 428706

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FAQs on GCF of Fractions of 5575/918, 3361/2802

1. What is the HCF of 5575,3361?

The HCF of 5575,3361 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 5575/918, 3361/2802?

Answer: GCF of Numerators as per given numbers 5575/918, 3361/2802 is

GCF of Numerators i.e. for 5575,3361 is 1

LCM of denominators i.e. for 918,2802 is 428706.

Thus, GCF of Fractions is 1/428706.Finally, GCF of Fractions for 5575/918, 3361/2802 is 1/428706.