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GCF of 7049/679, 4729/5078

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 7049/679, 4729/5078 i.e 1/3447962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7049/679, 4729/5078.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7049/679,4729/5078?

Given fractions are 7049/679,4729/5078

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 7049/679,4729/5078, numerators are 7049,4729

Denominators are 679,5078

The GCF of 7049,4729 is 1 .

LCM of 679,5078 is 3447962.

The greatest common factor of 7049/679,4729/5078 = [GCF of 7049,4729]/[LCM of 679,5078]= 1/3447962

Therefore, the GCF of 7049/679,4729/5078 is 1/3447962.

Greatest Common Factor of 7049,4729

To find the highest common factor of 7049,4729, we have to find the factors of both numbers and list the highest common factor.

The factors of 7049 are 1, 7, 19, 53, 133, 371, 1007, 7049

The factors of 4729 are 1, 4729

The HCF of 7049,4729 is 1.

Lets's calculate GCF of 7049,4729

Greatest Common Factor (GCF) of 7049,4729 By Common Division

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

Greatest Common Factor of 7049,4729 By Matching Biggest Common Factor Method

Greatest Common Factor of 7049,4729 By Matching Biggest Common Factor Method

Now, list down the factors of 7049

:

1,7,19,53,133,371,1007,7049

Now, list down the factors of 4729

:

1,4729

Greatest Common Factor

We found the factors 7049,4729 . The biggest common factor number is the GCF number.
So the greatest common factor 7049,4729 is 1.


Lets's calculate LCM of 679,5078

Lowest Common Multiple of 679,5078 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3447962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3447962

Therefore, the GCF of Fractions 7049/679,4729/5078 is 1/3447962

Least Common Multiple of 679,5078 with GCF Formula

Least Common Multiple of 679,5078 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 679,5078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,5078) = 1

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

GCF(679,5078) x common factors =1 x 1 = 1

LCM(679,5078) = ( 679 × 5078 ) / 1

LCM(679,5078) = 3447962 / 1

LCM(679,5078) = 3447962


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7049/679, 4729/5078

1. What is the HCF of 7049,4729?

The HCF of 7049,4729 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 7049/679, 4729/5078?

Answer: GCF of Numerators as per given numbers 7049/679, 4729/5078 is

GCF of Numerators i.e. for 7049,4729 is 1

LCM of denominators i.e. for 679,5078 is 3447962.

Thus, GCF of Fractions is 1/3447962.Finally, GCF of Fractions for 7049/679, 4729/5078 is 1/3447962.