How to Find GCF of 1684/342, 2251/3575?

GCF of 1684/342, 2251/3575

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 1684/342, 2251/3575 i.e 1/1222650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1684/342, 2251/3575.

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 1684/342,2251/3575?

Given fractions are 1684/342,2251/3575

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 1684/342,2251/3575, numerators are 1684,2251

Denominators are 342,3575

The GCF of 1684,2251 is 1 .

LCM of 342,3575 is 1222650.

The greatest common factor of 1684/342,2251/3575 = [GCF of 1684,2251]/[LCM of 342,3575]= 1/1222650

Therefore, the GCF of 1684/342,2251/3575 is 1/1222650.

Greatest Common Factor of 1684,2251

To find the highest common factor of 1684,2251, we have to find the factors of both numbers and list the highest common factor.

The factors of 1684 are 1, 2, 4, 421, 842, 1684

The factors of 2251 are 1, 2251

The HCF of 1684,2251 is 1.

Lets's calculate GCF of 1684,2251

Greatest Common Factor (GCF) of 1684,2251 By Common Division

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

Greatest Common Factor of 1684,2251 By Matching Biggest Common Factor Method

Now, list down the factors of 1684

1,2,4,421,842,1684

Now, list down the factors of 2251

1,2251

Greatest Common Factor

We found the factors 1684,2251 . The biggest common factor number is the GCF number.
So the greatest common factor 1684,2251 is 1.

Lets's calculate LCM of 342,3575

Lowest Common Multiple of 342,3575 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1222650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1222650

Therefore, the GCF of Fractions 1684/342,2251/3575 is 1/1222650

Least Common Multiple of 342,3575 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 342,3575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,3575) = 1

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

GCF(342,3575) x common factors =1 x 1 = 1

LCM(342,3575) = ( 342 × 3575 ) / 1

LCM(342,3575) = 1222650 / 1

LCM(342,3575) = 1222650

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FAQs on GCF of Fractions of 1684/342, 2251/3575

1. What is the HCF of 1684,2251?

The HCF of 1684,2251 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 1684/342, 2251/3575?

Answer: GCF of Numerators as per given numbers 1684/342, 2251/3575 is

GCF of Numerators i.e. for 1684,2251 is 1

LCM of denominators i.e. for 342,3575 is 1222650.

Thus, GCF of Fractions is 1/1222650.Finally, GCF of Fractions for 1684/342, 2251/3575 is 1/1222650.