How to Find GCF of 969/749, 503/725?

GCF of 969/749, 503/725

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 969/749, 503/725 i.e 1/543025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/749, 503/725.

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 969/749,503/725?

Given fractions are 969/749,503/725

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 969/749,503/725, numerators are 969,503

Denominators are 749,725

The GCF of 969,503 is 1 .

LCM of 749,725 is 543025.

The greatest common factor of 969/749,503/725 = [GCF of 969,503]/[LCM of 749,725]= 1/543025

Therefore, the GCF of 969/749,503/725 is 1/543025.

Greatest Common Factor of 969,503

To find the highest common factor of 969,503, we have to find the factors of both numbers and list the highest common factor.

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The factors of 503 are 1, 503

The HCF of 969,503 is 1.

Lets's calculate GCF of 969,503

Greatest Common Factor (GCF) of 969,503 By Common Division

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

Greatest Common Factor of 969,503 By Matching Biggest Common Factor Method

Now, list down the factors of 969

1,3,17,19,51,57,323,969

Now, list down the factors of 503

1,503

Greatest Common Factor

We found the factors 969,503 . The biggest common factor number is the GCF number.
So the greatest common factor 969,503 is 1.

Lets's calculate LCM of 749,725

Lowest Common Multiple of 749,725 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 543025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543025

Therefore, the GCF of Fractions 969/749,503/725 is 1/543025

Least Common Multiple of 749,725 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 749,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,725) = 1

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

GCF(749,725) x common factors =1 x 1 = 1

LCM(749,725) = ( 749 × 725 ) / 1

LCM(749,725) = 543025 / 1

LCM(749,725) = 543025

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FAQs on GCF of Fractions of 969/749, 503/725

1. What is the HCF of 969,503?

The HCF of 969,503 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 969/749, 503/725?

Answer: GCF of Numerators as per given numbers 969/749, 503/725 is

GCF of Numerators i.e. for 969,503 is 1

LCM of denominators i.e. for 749,725 is 543025.

Thus, GCF of Fractions is 1/543025.Finally, GCF of Fractions for 969/749, 503/725 is 1/543025.