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GCF of 526/685, 9608/443

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 526/685, 9608/443 i.e 2/303455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 526/685, 9608/443.

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 526/685,9608/443?

Given fractions are 526/685,9608/443

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 526/685,9608/443, numerators are 526,9608

Denominators are 685,443

The GCF of 526,9608 is 2 .

LCM of 685,443 is 303455.

The greatest common factor of 526/685,9608/443 = [GCF of 526,9608]/[LCM of 685,443]= 2/303455

Therefore, the GCF of 526/685,9608/443 is 2/303455.

Greatest Common Factor of 526,9608

To find the highest common factor of 526,9608, we have to find the factors of both numbers and list the highest common factor.

The factors of 526 are 1, 2, 263, 526

The factors of 9608 are 1, 2, 4, 8, 1201, 2402, 4804, 9608

The HCF of 526,9608 is 2.

Lets's calculate GCF of 526,9608

Greatest Common Factor (GCF) of 526,9608 By Common Division

2 526, 9608
263, 4804

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 526,9608 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,9608 By Matching Biggest Common Factor Method

Now, list down the factors of 526

:

1,2,263,526

Now, list down the factors of 9608

:

1,2,4,8,1201,2402,4804,9608

Greatest Common Factor

We found the factors 526,9608 . The biggest common factor number is the GCF number.
So the greatest common factor 526,9608 is 2.


Lets's calculate LCM of 685,443

Lowest Common Multiple of 685,443 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 303455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/303455

Therefore, the GCF of Fractions 526/685,9608/443 is 2/303455

Least Common Multiple of 685,443 with GCF Formula

Least Common Multiple of 685,443 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 685,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,443) = 1

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

GCF(685,443) x common factors =1 x 1 = 1

LCM(685,443) = ( 685 × 443 ) / 1

LCM(685,443) = 303455 / 1

LCM(685,443) = 303455


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 526/685, 9608/443

1. What is the HCF of 526,9608?

The HCF of 526,9608 is 2

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 526/685, 9608/443?

Answer: GCF of Numerators as per given numbers 526/685, 9608/443 is

GCF of Numerators i.e. for 526,9608 is 2

LCM of denominators i.e. for 685,443 is 303455.

Thus, GCF of Fractions is 2/303455.Finally, GCF of Fractions for 526/685, 9608/443 is 2/303455.