How to Find GCF of 5507/526, 7414/580?

GCF of 5507/526, 7414/580

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 5507/526, 7414/580 i.e 1/152540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5507/526, 7414/580.

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 5507/526,7414/580?

Given fractions are 5507/526,7414/580

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 5507/526,7414/580, numerators are 5507,7414

Denominators are 526,580

The GCF of 5507,7414 is 1 .

LCM of 526,580 is 152540.

The greatest common factor of 5507/526,7414/580 = [GCF of 5507,7414]/[LCM of 526,580]= 1/152540

Therefore, the GCF of 5507/526,7414/580 is 1/152540.

Greatest Common Factor of 5507,7414

To find the highest common factor of 5507,7414, we have to find the factors of both numbers and list the highest common factor.

The factors of 5507 are 1, 5507

The factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414

The HCF of 5507,7414 is 1.

Lets's calculate GCF of 5507,7414

Greatest Common Factor (GCF) of 5507,7414 By Common Division

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

Greatest Common Factor of 5507,7414 By Matching Biggest Common Factor Method

Now, list down the factors of 5507

1,5507

Now, list down the factors of 7414

1,2,11,22,337,674,3707,7414

Greatest Common Factor

We found the factors 5507,7414 . The biggest common factor number is the GCF number.
So the greatest common factor 5507,7414 is 1.

Lets's calculate LCM of 526,580

Lowest Common Multiple of 526,580 using Common Division

2	526, 580
	263, 290

∴ So the LCM of the given numbers is 2 x 263 x 290 = 152540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152540

Therefore, the GCF of Fractions 5507/526,7414/580 is 1/152540

Least Common Multiple of 526,580 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 526,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,580) = 2

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

GCF(526,580) x common factors =2 x 1 = 2

LCM(526,580) = ( 526 × 580 ) / 2

LCM(526,580) = 305080 / 2

LCM(526,580) = 152540

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FAQs on GCF of Fractions of 5507/526, 7414/580

1. What is the HCF of 5507,7414?

The HCF of 5507,7414 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 5507/526, 7414/580?

Answer: GCF of Numerators as per given numbers 5507/526, 7414/580 is

GCF of Numerators i.e. for 5507,7414 is 1

LCM of denominators i.e. for 526,580 is 152540.

Thus, GCF of Fractions is 1/152540.Finally, GCF of Fractions for 5507/526, 7414/580 is 1/152540.