How to Find GCF of 111/750, 6503/690?

GCF of 111/750, 6503/690

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 111/750, 6503/690 i.e 1/17250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 111/750, 6503/690.

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 111/750,6503/690?

Given fractions are 111/750,6503/690

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 111/750,6503/690, numerators are 111,6503

Denominators are 750,690

The GCF of 111,6503 is 1 .

LCM of 750,690 is 17250.

The greatest common factor of 111/750,6503/690 = [GCF of 111,6503]/[LCM of 750,690]= 1/17250

Therefore, the GCF of 111/750,6503/690 is 1/17250.

Greatest Common Factor of 111,6503

To find the highest common factor of 111,6503, we have to find the factors of both numbers and list the highest common factor.

The factors of 111 are 1, 3, 37, 111

The factors of 6503 are 1, 7, 929, 6503

The HCF of 111,6503 is 1.

Lets's calculate GCF of 111,6503

Greatest Common Factor (GCF) of 111,6503 By Common Division

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

Greatest Common Factor of 111,6503 By Matching Biggest Common Factor Method

Now, list down the factors of 111

1,3,37,111

Now, list down the factors of 6503

1,7,929,6503

Greatest Common Factor

We found the factors 111,6503 . The biggest common factor number is the GCF number.
So the greatest common factor 111,6503 is 1.

Lets's calculate LCM of 750,690

Lowest Common Multiple of 750,690 using Common Division

2	750, 690
3	375, 345
5	125, 115
	25, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 25 x 23 = 17250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17250

Therefore, the GCF of Fractions 111/750,6503/690 is 1/17250

Least Common Multiple of 750,690 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 750,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,690) = 30

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

GCF(750,690) x common factors =30 x 1 = 30

LCM(750,690) = ( 750 × 690 ) / 30

LCM(750,690) = 517500 / 30

LCM(750,690) = 17250

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FAQs on GCF of Fractions of 111/750, 6503/690

1. What is the HCF of 111,6503?

The HCF of 111,6503 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 111/750, 6503/690?

Answer: GCF of Numerators as per given numbers 111/750, 6503/690 is

GCF of Numerators i.e. for 111,6503 is 1

LCM of denominators i.e. for 750,690 is 17250.

Thus, GCF of Fractions is 1/17250.Finally, GCF of Fractions for 111/750, 6503/690 is 1/17250.