How to Find GCF of 7777/527, 2245/627?

GCF of 7777/527, 2245/627

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 7777/527, 2245/627 i.e 1/330429 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7777/527, 2245/627.

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 7777/527,2245/627?

Given fractions are 7777/527,2245/627

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 7777/527,2245/627, numerators are 7777,2245

Denominators are 527,627

The GCF of 7777,2245 is 1 .

LCM of 527,627 is 330429.

The greatest common factor of 7777/527,2245/627 = [GCF of 7777,2245]/[LCM of 527,627]= 1/330429

Therefore, the GCF of 7777/527,2245/627 is 1/330429.

Greatest Common Factor of 7777,2245

To find the highest common factor of 7777,2245, we have to find the factors of both numbers and list the highest common factor.

The factors of 7777 are 1, 7, 11, 77, 101, 707, 1111, 7777

The factors of 2245 are 1, 5, 449, 2245

The HCF of 7777,2245 is 1.

Lets's calculate GCF of 7777,2245

Greatest Common Factor (GCF) of 7777,2245 By Common Division

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

Greatest Common Factor of 7777,2245 By Matching Biggest Common Factor Method

Now, list down the factors of 7777

1,7,11,77,101,707,1111,7777

Now, list down the factors of 2245

1,5,449,2245

Greatest Common Factor

We found the factors 7777,2245 . The biggest common factor number is the GCF number.
So the greatest common factor 7777,2245 is 1.

Lets's calculate LCM of 527,627

Lowest Common Multiple of 527,627 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 330429

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330429

Therefore, the GCF of Fractions 7777/527,2245/627 is 1/330429

Least Common Multiple of 527,627 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 527,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,627) = 1

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

GCF(527,627) x common factors =1 x 1 = 1

LCM(527,627) = ( 527 × 627 ) / 1

LCM(527,627) = 330429 / 1

LCM(527,627) = 330429

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FAQs on GCF of Fractions of 7777/527, 2245/627

1. What is the HCF of 7777,2245?

The HCF of 7777,2245 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 7777/527, 2245/627?

Answer: GCF of Numerators as per given numbers 7777/527, 2245/627 is

GCF of Numerators i.e. for 7777,2245 is 1

LCM of denominators i.e. for 527,627 is 330429.

Thus, GCF of Fractions is 1/330429.Finally, GCF of Fractions for 7777/527, 2245/627 is 1/330429.