How to Find GCF of 3251/349, 8464/770?

GCF of 3251/349, 8464/770

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 3251/349, 8464/770 i.e 1/268730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3251/349, 8464/770.

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 3251/349,8464/770?

Given fractions are 3251/349,8464/770

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 3251/349,8464/770, numerators are 3251,8464

Denominators are 349,770

The GCF of 3251,8464 is 1 .

LCM of 349,770 is 268730.

The greatest common factor of 3251/349,8464/770 = [GCF of 3251,8464]/[LCM of 349,770]= 1/268730

Therefore, the GCF of 3251/349,8464/770 is 1/268730.

Greatest Common Factor of 3251,8464

To find the highest common factor of 3251,8464, we have to find the factors of both numbers and list the highest common factor.

The factors of 3251 are 1, 3251

The factors of 8464 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464

The HCF of 3251,8464 is 1.

Lets's calculate GCF of 3251,8464

Greatest Common Factor (GCF) of 3251,8464 By Common Division

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

Greatest Common Factor of 3251,8464 By Matching Biggest Common Factor Method

Now, list down the factors of 3251

1,3251

Now, list down the factors of 8464

1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464

Greatest Common Factor

We found the factors 3251,8464 . The biggest common factor number is the GCF number.
So the greatest common factor 3251,8464 is 1.

Lets's calculate LCM of 349,770

Lowest Common Multiple of 349,770 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 268730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268730

Therefore, the GCF of Fractions 3251/349,8464/770 is 1/268730

Least Common Multiple of 349,770 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 349,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,770) = 1

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

GCF(349,770) x common factors =1 x 1 = 1

LCM(349,770) = ( 349 × 770 ) / 1

LCM(349,770) = 268730 / 1

LCM(349,770) = 268730

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FAQs on GCF of Fractions of 3251/349, 8464/770

1. What is the HCF of 3251,8464?

The HCF of 3251,8464 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 3251/349, 8464/770?

Answer: GCF of Numerators as per given numbers 3251/349, 8464/770 is

GCF of Numerators i.e. for 3251,8464 is 1

LCM of denominators i.e. for 349,770 is 268730.

Thus, GCF of Fractions is 1/268730.Finally, GCF of Fractions for 3251/349, 8464/770 is 1/268730.