Highest Common Factor of 645, 9399, 8898 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 645, 9399, 8898 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 645, 9399, 8898 is 3 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 645, 9399, 8898 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 645, 9399, 8898 is 3.
HCF(645, 9399, 8898) = 3
HCF of 645, 9399, 8898 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 645, 9399, 8898 is 3.
Highest Common Factor of 645,9399,8898 is 3
Step 1: Since 9399 > 645, we apply the division lemma to 9399 and 645, to get
9399 = 645 x 14 + 369
Step 2: Since the reminder 645 ≠ 0, we apply division lemma to 369 and 645, to get
645 = 369 x 1 + 276
Step 3: We consider the new divisor 369 and the new remainder 276, and apply the division lemma to get
369 = 276 x 1 + 93
We consider the new divisor 276 and the new remainder 93,and apply the division lemma to get
276 = 93 x 2 + 90
We consider the new divisor 93 and the new remainder 90,and apply the division lemma to get
93 = 90 x 1 + 3
We consider the new divisor 90 and the new remainder 3,and apply the division lemma to get
90 = 3 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 645 and 9399 is 3
Notice that 3 = HCF(90,3) = HCF(93,90) = HCF(276,93) = HCF(369,276) = HCF(645,369) = HCF(9399,645) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8898 > 3, we apply the division lemma to 8898 and 3, to get
8898 = 3 x 2966 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 8898 is 3
Notice that 3 = HCF(8898,3) .
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Frequently Asked Questions on HCF of 645, 9399, 8898 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 645, 9399, 8898?
Answer: HCF of 645, 9399, 8898 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 645, 9399, 8898 using Euclid's Algorithm?
Answer: For arbitrary numbers 645, 9399, 8898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.