How to Find GCF of 700/934, 988/446?

GCF of 700/934, 988/446

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 700/934, 988/446 i.e 4/208282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 700/934, 988/446.

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 700/934,988/446?

Given fractions are 700/934,988/446

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 700/934,988/446, numerators are 700,988

Denominators are 934,446

The GCF of 700,988 is 4 .

LCM of 934,446 is 208282.

The greatest common factor of 700/934,988/446 = [GCF of 700,988]/[LCM of 934,446]= 4/208282

Therefore, the GCF of 700/934,988/446 is 4/208282.

Greatest Common Factor of 700,988

To find the highest common factor of 700,988, we have to find the factors of both numbers and list the highest common factor.

The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

The HCF of 700,988 is 4.

Lets's calculate GCF of 700,988

Greatest Common Factor (GCF) of 700,988 By Common Division

2	700, 988
2	350, 494
	175, 247

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 700,988 By Matching Biggest Common Factor Method

Now, list down the factors of 700

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Now, list down the factors of 988

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 700,988 . The biggest common factor number is the GCF number.
So the greatest common factor 700,988 is 4.

Lets's calculate LCM of 934,446

Lowest Common Multiple of 934,446 using Common Division

2	934, 446
	467, 223

∴ So the LCM of the given numbers is 2 x 467 x 223 = 208282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/208282

Therefore, the GCF of Fractions 700/934,988/446 is 4/208282

Least Common Multiple of 934,446 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 934,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,446) = 2

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

GCF(934,446) x common factors =2 x 1 = 2

LCM(934,446) = ( 934 × 446 ) / 2

LCM(934,446) = 416564 / 2

LCM(934,446) = 208282

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FAQs on GCF of Fractions of 700/934, 988/446

1. What is the HCF of 700,988?

The HCF of 700,988 is 4

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 700/934, 988/446?

Answer: GCF of Numerators as per given numbers 700/934, 988/446 is

GCF of Numerators i.e. for 700,988 is 4

LCM of denominators i.e. for 934,446 is 208282.

Thus, GCF of Fractions is 4/208282.Finally, GCF of Fractions for 700/934, 988/446 is 4/208282.