Highest Common Factor of 5732, 7990, 69735 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 5732, 7990, 69735 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5732, 7990, 69735 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 5732, 7990, 69735 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 5732, 7990, 69735 is 1.

HCF(5732, 7990, 69735) = 1

HCF of 5732, 7990, 69735 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 5732, 7990, 69735 is 1.

Highest Common Factor of 5732,7990,69735 using Euclid's algorithm

Highest Common Factor of 5732,7990,69735 is 1

Step 1: Since 7990 > 5732, we apply the division lemma to 7990 and 5732, to get

7990 = 5732 x 1 + 2258

Step 2: Since the reminder 5732 ≠ 0, we apply division lemma to 2258 and 5732, to get

5732 = 2258 x 2 + 1216

Step 3: We consider the new divisor 2258 and the new remainder 1216, and apply the division lemma to get

2258 = 1216 x 1 + 1042

We consider the new divisor 1216 and the new remainder 1042,and apply the division lemma to get

1216 = 1042 x 1 + 174

We consider the new divisor 1042 and the new remainder 174,and apply the division lemma to get

1042 = 174 x 5 + 172

We consider the new divisor 174 and the new remainder 172,and apply the division lemma to get

174 = 172 x 1 + 2

We consider the new divisor 172 and the new remainder 2,and apply the division lemma to get

172 = 2 x 86 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5732 and 7990 is 2

Notice that 2 = HCF(172,2) = HCF(174,172) = HCF(1042,174) = HCF(1216,1042) = HCF(2258,1216) = HCF(5732,2258) = HCF(7990,5732) .

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

Step 1: Since 69735 > 2, we apply the division lemma to 69735 and 2, to get

69735 = 2 x 34867 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 69735 is 1

Notice that 1 = HCF(2,1) = HCF(69735,2) .

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Frequently Asked Questions on HCF of 5732, 7990, 69735 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 5732, 7990, 69735?

Answer: HCF of 5732, 7990, 69735 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5732, 7990, 69735 using Euclid's Algorithm?

Answer: For arbitrary numbers 5732, 7990, 69735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.