How to Find GCF of 48/622, 79/755, 601/503?

GCF of 48/622, 79/755, 601/503

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 48/622, 79/755, 601/503 i.e 1/236213830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/622, 79/755, 601/503.

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 48/622,79/755,601/503?

Given fractions are 48/622,79/755,601/503

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 48/622,79/755,601/503, numerators are 48,79,601

Denominators are 622,755,503

The GCF of 48,79,601 is 1 .

LCM of 622,755,503 is 236213830.

The greatest common factor of 48/622,79/755,601/503 = [GCF of 48,79,601]/[LCM of 622,755,503]= 1/236213830

Therefore, the GCF of 48/622,79/755,601/503 is 1/236213830.

Greatest Common Factor of 48,79,601

To find the highest common factor of 48,79,601, we have to find the factors of both numbers and list the highest common factor.

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 79 are 1, 79

The factors of 601 are 1, 601

The HCF of 48,79,601 is 1.

Lets's calculate GCF of 48,79,601

Greatest Common Factor (GCF) of 48,79,601 By Common Division

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

Greatest Common Factor of 48,79,601 By Matching Biggest Common Factor Method

Now, list down the factors of 48

1,2,3,4,6,8,12,16,24,48

Now, list down the factors of 79

1,79

Now, list down the factors of 601

1,601

Greatest Common Factor

We found the factors 48,79,601 . The biggest common factor number is the GCF number.
So the greatest common factor 48,79,601 is 1.

Lets's calculate LCM of 622,755,503

Lowest Common Multiple of 622,755,503 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 236213830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236213830

Therefore, the GCF of Fractions 48/622,79/755,601/503 is 1/236213830

Least Common Multiple of 622,755,503 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 622,755,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,755,503) = 1

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

GCF(622,755,503) x common factors =1 x 1 = 1

LCM(622,755,503) = ( 622 × 755 × 503 ) / 1

LCM(622,755,503) = 236213830 / 1

LCM(622,755,503) = 236213830

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 48/622, 79/755, 601/503

1. What is the HCF of 48,79,601?

The HCF of 48,79,601 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 48/622, 79/755, 601/503?

Answer: GCF of Numerators as per given numbers 48/622, 79/755, 601/503 is

GCF of Numerators i.e. for 48,79,601 is 1

LCM of denominators i.e. for 622,755,503 is 236213830.

Thus, GCF of Fractions is 1/236213830.Finally, GCF of Fractions for 48/622, 79/755, 601/503 is 1/236213830.