How to Find GCF of 4677/701, 2048/5087?

GCF of 4677/701, 2048/5087

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 4677/701, 2048/5087 i.e 1/3565987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4677/701, 2048/5087.

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 4677/701,2048/5087?

Given fractions are 4677/701,2048/5087

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 4677/701,2048/5087, numerators are 4677,2048

Denominators are 701,5087

The GCF of 4677,2048 is 1 .

LCM of 701,5087 is 3565987.

The greatest common factor of 4677/701,2048/5087 = [GCF of 4677,2048]/[LCM of 701,5087]= 1/3565987

Therefore, the GCF of 4677/701,2048/5087 is 1/3565987.

Greatest Common Factor of 4677,2048

To find the highest common factor of 4677,2048, we have to find the factors of both numbers and list the highest common factor.

The factors of 4677 are 1, 3, 1559, 4677

The factors of 2048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048

The HCF of 4677,2048 is 1.

Lets's calculate GCF of 4677,2048

Greatest Common Factor (GCF) of 4677,2048 By Common Division

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

Greatest Common Factor of 4677,2048 By Matching Biggest Common Factor Method

Now, list down the factors of 4677

1,3,1559,4677

Now, list down the factors of 2048

1,2,4,8,16,32,64,128,256,512,1024,2048

Greatest Common Factor

We found the factors 4677,2048 . The biggest common factor number is the GCF number.
So the greatest common factor 4677,2048 is 1.

Lets's calculate LCM of 701,5087

Lowest Common Multiple of 701,5087 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3565987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3565987

Therefore, the GCF of Fractions 4677/701,2048/5087 is 1/3565987

Least Common Multiple of 701,5087 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 701,5087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,5087) = 1

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

GCF(701,5087) x common factors =1 x 1 = 1

LCM(701,5087) = ( 701 × 5087 ) / 1

LCM(701,5087) = 3565987 / 1

LCM(701,5087) = 3565987

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FAQs on GCF of Fractions of 4677/701, 2048/5087

1. What is the HCF of 4677,2048?

The HCF of 4677,2048 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 4677/701, 2048/5087?

Answer: GCF of Numerators as per given numbers 4677/701, 2048/5087 is

GCF of Numerators i.e. for 4677,2048 is 1

LCM of denominators i.e. for 701,5087 is 3565987.

Thus, GCF of Fractions is 1/3565987.Finally, GCF of Fractions for 4677/701, 2048/5087 is 1/3565987.