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GCF of 5509/525, 9467/802

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 5509/525, 9467/802 i.e 1/421050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5509/525, 9467/802.

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 5509/525,9467/802?

Given fractions are 5509/525,9467/802

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 5509/525,9467/802, numerators are 5509,9467

Denominators are 525,802

The GCF of 5509,9467 is 1 .

LCM of 525,802 is 421050.

The greatest common factor of 5509/525,9467/802 = [GCF of 5509,9467]/[LCM of 525,802]= 1/421050

Therefore, the GCF of 5509/525,9467/802 is 1/421050.

Greatest Common Factor of 5509,9467

To find the highest common factor of 5509,9467, we have to find the factors of both numbers and list the highest common factor.

The factors of 5509 are 1, 7, 787, 5509

The factors of 9467 are 1, 9467

The HCF of 5509,9467 is 1.

Lets's calculate GCF of 5509,9467

Greatest Common Factor (GCF) of 5509,9467 By Common Division

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

Greatest Common Factor of 5509,9467 By Matching Biggest Common Factor Method

Greatest Common Factor of 5509,9467 By Matching Biggest Common Factor Method

Now, list down the factors of 5509

:

1,7,787,5509

Now, list down the factors of 9467

:

1,9467

Greatest Common Factor

We found the factors 5509,9467 . The biggest common factor number is the GCF number.
So the greatest common factor 5509,9467 is 1.

Lets's calculate LCM of 525,802

Lowest Common Multiple of 525,802 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 421050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/421050

Therefore, the GCF of Fractions 5509/525,9467/802 is 1/421050

Least Common Multiple of 525,802 with GCF Formula

Least Common Multiple of 525,802 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 525,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,802) = 1

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

GCF(525,802) x common factors =1 x 1 = 1

LCM(525,802) = ( 525 × 802 ) / 1

LCM(525,802) = 421050 / 1

LCM(525,802) = 421050


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FAQs on GCF of Fractions of 5509/525, 9467/802

1. What is the HCF of 5509,9467?

The HCF of 5509,9467 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 5509/525, 9467/802?

Answer: GCF of Numerators as per given numbers 5509/525, 9467/802 is

GCF of Numerators i.e. for 5509,9467 is 1

LCM of denominators i.e. for 525,802 is 421050.

Thus, GCF of Fractions is 1/421050.Finally, GCF of Fractions for 5509/525, 9467/802 is 1/421050.