Highest Common Factor of 7139, 5597, 99450 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 7139, 5597, 99450 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7139, 5597, 99450 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 7139, 5597, 99450 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 7139, 5597, 99450 is 1.

HCF(7139, 5597, 99450) = 1

HCF of 7139, 5597, 99450 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 7139, 5597, 99450 is 1.

Highest Common Factor of 7139,5597,99450 using Euclid's algorithm

Highest Common Factor of 7139,5597,99450 is 1

Step 1: Since 7139 > 5597, we apply the division lemma to 7139 and 5597, to get

7139 = 5597 x 1 + 1542

Step 2: Since the reminder 5597 ≠ 0, we apply division lemma to 1542 and 5597, to get

5597 = 1542 x 3 + 971

Step 3: We consider the new divisor 1542 and the new remainder 971, and apply the division lemma to get

1542 = 971 x 1 + 571

We consider the new divisor 971 and the new remainder 571,and apply the division lemma to get

971 = 571 x 1 + 400

We consider the new divisor 571 and the new remainder 400,and apply the division lemma to get

571 = 400 x 1 + 171

We consider the new divisor 400 and the new remainder 171,and apply the division lemma to get

400 = 171 x 2 + 58

We consider the new divisor 171 and the new remainder 58,and apply the division lemma to get

171 = 58 x 2 + 55

We consider the new divisor 58 and the new remainder 55,and apply the division lemma to get

58 = 55 x 1 + 3

We consider the new divisor 55 and the new remainder 3,and apply the division lemma to get

55 = 3 x 18 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7139 and 5597 is 1

Notice that 1 = HCF(3,1) = HCF(55,3) = HCF(58,55) = HCF(171,58) = HCF(400,171) = HCF(571,400) = HCF(971,571) = HCF(1542,971) = HCF(5597,1542) = HCF(7139,5597) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 99450 > 1, we apply the division lemma to 99450 and 1, to get

99450 = 1 x 99450 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99450 is 1

Notice that 1 = HCF(99450,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 7139, 5597, 99450 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 7139, 5597, 99450?

Answer: HCF of 7139, 5597, 99450 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7139, 5597, 99450 using Euclid's Algorithm?

Answer: For arbitrary numbers 7139, 5597, 99450 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.