Highest Common Factor of 876, 7533, 8617 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 876, 7533, 8617 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 876, 7533, 8617 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 876, 7533, 8617 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 876, 7533, 8617 is 1.
HCF(876, 7533, 8617) = 1
HCF of 876, 7533, 8617 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 876, 7533, 8617 is 1.
Highest Common Factor of 876,7533,8617 is 1
Step 1: Since 7533 > 876, we apply the division lemma to 7533 and 876, to get
7533 = 876 x 8 + 525
Step 2: Since the reminder 876 ≠ 0, we apply division lemma to 525 and 876, to get
876 = 525 x 1 + 351
Step 3: We consider the new divisor 525 and the new remainder 351, and apply the division lemma to get
525 = 351 x 1 + 174
We consider the new divisor 351 and the new remainder 174,and apply the division lemma to get
351 = 174 x 2 + 3
We consider the new divisor 174 and the new remainder 3,and apply the division lemma to get
174 = 3 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 876 and 7533 is 3
Notice that 3 = HCF(174,3) = HCF(351,174) = HCF(525,351) = HCF(876,525) = HCF(7533,876) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8617 > 3, we apply the division lemma to 8617 and 3, to get
8617 = 3 x 2872 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 8617 is 1
Notice that 1 = HCF(3,1) = HCF(8617,3) .
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Frequently Asked Questions on HCF of 876, 7533, 8617 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 876, 7533, 8617?
Answer: HCF of 876, 7533, 8617 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 876, 7533, 8617 using Euclid's Algorithm?
Answer: For arbitrary numbers 876, 7533, 8617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.