How to Find GCF of 2956/467, 3248/6507?

GCF of 2956/467, 3248/6507

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 2956/467, 3248/6507 i.e 4/3038769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2956/467, 3248/6507.

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 2956/467,3248/6507?

Given fractions are 2956/467,3248/6507

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 2956/467,3248/6507, numerators are 2956,3248

Denominators are 467,6507

The GCF of 2956,3248 is 4 .

LCM of 467,6507 is 3038769.

The greatest common factor of 2956/467,3248/6507 = [GCF of 2956,3248]/[LCM of 467,6507]= 4/3038769

Therefore, the GCF of 2956/467,3248/6507 is 4/3038769.

Greatest Common Factor of 2956,3248

To find the highest common factor of 2956,3248, we have to find the factors of both numbers and list the highest common factor.

The factors of 2956 are 1, 2, 4, 739, 1478, 2956

The factors of 3248 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248

The HCF of 2956,3248 is 4.

Lets's calculate GCF of 2956,3248

Greatest Common Factor (GCF) of 2956,3248 By Common Division

2	2956, 3248
2	1478, 1624
	739, 812

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2956,3248 By Matching Biggest Common Factor Method

Now, list down the factors of 2956

1,2,4,739,1478,2956

Now, list down the factors of 3248

1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248

Greatest Common Factor

We found the factors 2956,3248 . The biggest common factor number is the GCF number.
So the greatest common factor 2956,3248 is 4.

Lets's calculate LCM of 467,6507

Lowest Common Multiple of 467,6507 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3038769

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3038769

Therefore, the GCF of Fractions 2956/467,3248/6507 is 4/3038769

Least Common Multiple of 467,6507 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 467,6507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,6507) = 1

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

GCF(467,6507) x common factors =1 x 1 = 1

LCM(467,6507) = ( 467 × 6507 ) / 1

LCM(467,6507) = 3038769 / 1

LCM(467,6507) = 3038769

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FAQs on GCF of Fractions of 2956/467, 3248/6507

1. What is the HCF of 2956,3248?

The HCF of 2956,3248 is 4

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 2956/467, 3248/6507?

Answer: GCF of Numerators as per given numbers 2956/467, 3248/6507 is

GCF of Numerators i.e. for 2956,3248 is 4

LCM of denominators i.e. for 467,6507 is 3038769.

Thus, GCF of Fractions is 4/3038769.Finally, GCF of Fractions for 2956/467, 3248/6507 is 4/3038769.