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GCF of 1445/977, 7151/5555

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 1445/977, 7151/5555 i.e 1/5427235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1445/977, 7151/5555.

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 1445/977,7151/5555?

Given fractions are 1445/977,7151/5555

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 1445/977,7151/5555, numerators are 1445,7151

Denominators are 977,5555

The GCF of 1445,7151 is 1 .

LCM of 977,5555 is 5427235.

The greatest common factor of 1445/977,7151/5555 = [GCF of 1445,7151]/[LCM of 977,5555]= 1/5427235

Therefore, the GCF of 1445/977,7151/5555 is 1/5427235.

Greatest Common Factor of 1445,7151

To find the highest common factor of 1445,7151, we have to find the factors of both numbers and list the highest common factor.

The factors of 1445 are 1, 5, 17, 85, 289, 1445

The factors of 7151 are 1, 7151

The HCF of 1445,7151 is 1.

Lets's calculate GCF of 1445,7151

Greatest Common Factor (GCF) of 1445,7151 By Common Division

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

Greatest Common Factor of 1445,7151 By Matching Biggest Common Factor Method

Greatest Common Factor of 1445,7151 By Matching Biggest Common Factor Method

Now, list down the factors of 1445

:

1,5,17,85,289,1445

Now, list down the factors of 7151

:

1,7151

Greatest Common Factor

We found the factors 1445,7151 . The biggest common factor number is the GCF number.
So the greatest common factor 1445,7151 is 1.

Lets's calculate LCM of 977,5555

Lowest Common Multiple of 977,5555 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5427235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5427235

Therefore, the GCF of Fractions 1445/977,7151/5555 is 1/5427235

Least Common Multiple of 977,5555 with GCF Formula

Least Common Multiple of 977,5555 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 977,5555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,5555) = 1

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

GCF(977,5555) x common factors =1 x 1 = 1

LCM(977,5555) = ( 977 × 5555 ) / 1

LCM(977,5555) = 5427235 / 1

LCM(977,5555) = 5427235


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1445/977, 7151/5555

1. What is the HCF of 1445,7151?

The HCF of 1445,7151 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 1445/977, 7151/5555?

Answer: GCF of Numerators as per given numbers 1445/977, 7151/5555 is

GCF of Numerators i.e. for 1445,7151 is 1

LCM of denominators i.e. for 977,5555 is 5427235.

Thus, GCF of Fractions is 1/5427235.Finally, GCF of Fractions for 1445/977, 7151/5555 is 1/5427235.