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GCF of 603/28, 778/2501

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 603/28, 778/2501 i.e 1/70028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/28, 778/2501.

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 603/28,778/2501?

Given fractions are 603/28,778/2501

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 603/28,778/2501, numerators are 603,778

Denominators are 28,2501

The GCF of 603,778 is 1 .

LCM of 28,2501 is 70028.

The greatest common factor of 603/28,778/2501 = [GCF of 603,778]/[LCM of 28,2501]= 1/70028

Therefore, the GCF of 603/28,778/2501 is 1/70028.

Greatest Common Factor of 603,778

To find the highest common factor of 603,778, we have to find the factors of both numbers and list the highest common factor.

The factors of 603 are 1, 3, 9, 67, 201, 603

The factors of 778 are 1, 2, 389, 778

The HCF of 603,778 is 1.

Lets's calculate GCF of 603,778

Greatest Common Factor (GCF) of 603,778 By Common Division

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

Greatest Common Factor of 603,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,778 By Matching Biggest Common Factor Method

Now, list down the factors of 603

:

1,3,9,67,201,603

Now, list down the factors of 778

:

1,2,389,778

Greatest Common Factor

We found the factors 603,778 . The biggest common factor number is the GCF number.
So the greatest common factor 603,778 is 1.

Lets's calculate LCM of 28,2501

Lowest Common Multiple of 28,2501 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 70028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70028

Therefore, the GCF of Fractions 603/28,778/2501 is 1/70028

Least Common Multiple of 28,2501 with GCF Formula

Least Common Multiple of 28,2501 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 28,2501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,2501) = 1

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

GCF(28,2501) x common factors =1 x 1 = 1

LCM(28,2501) = ( 28 × 2501 ) / 1

LCM(28,2501) = 70028 / 1

LCM(28,2501) = 70028


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FAQs on GCF of Fractions of 603/28, 778/2501

1. What is the HCF of 603,778?

The HCF of 603,778 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 603/28, 778/2501?

Answer: GCF of Numerators as per given numbers 603/28, 778/2501 is

GCF of Numerators i.e. for 603,778 is 1

LCM of denominators i.e. for 28,2501 is 70028.

Thus, GCF of Fractions is 1/70028.Finally, GCF of Fractions for 603/28, 778/2501 is 1/70028.