Highest Common Factor of 8285, 7432, 54229 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 8285, 7432, 54229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8285, 7432, 54229 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 8285, 7432, 54229 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 8285, 7432, 54229 is 1.
HCF(8285, 7432, 54229) = 1
HCF of 8285, 7432, 54229 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8285, 7432, 54229 is 1.
Highest Common Factor of 8285,7432,54229 is 1
Step 1: Since 8285 > 7432, we apply the division lemma to 8285 and 7432, to get
8285 = 7432 x 1 + 853
Step 2: Since the reminder 7432 ≠ 0, we apply division lemma to 853 and 7432, to get
7432 = 853 x 8 + 608
Step 3: We consider the new divisor 853 and the new remainder 608, and apply the division lemma to get
853 = 608 x 1 + 245
We consider the new divisor 608 and the new remainder 245,and apply the division lemma to get
608 = 245 x 2 + 118
We consider the new divisor 245 and the new remainder 118,and apply the division lemma to get
245 = 118 x 2 + 9
We consider the new divisor 118 and the new remainder 9,and apply the division lemma to get
118 = 9 x 13 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8285 and 7432 is 1
Notice that 1 = HCF(9,1) = HCF(118,9) = HCF(245,118) = HCF(608,245) = HCF(853,608) = HCF(7432,853) = HCF(8285,7432) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54229 > 1, we apply the division lemma to 54229 and 1, to get
54229 = 1 x 54229 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54229 is 1
Notice that 1 = HCF(54229,1) .
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Frequently Asked Questions on HCF of 8285, 7432, 54229 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 8285, 7432, 54229?
Answer: HCF of 8285, 7432, 54229 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8285, 7432, 54229 using Euclid's Algorithm?
Answer: For arbitrary numbers 8285, 7432, 54229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.