Highest Common Factor of 8935, 7164 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 8935, 7164 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8935, 7164 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 8935, 7164 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 8935, 7164 is 1.
HCF(8935, 7164) = 1
HCF of 8935, 7164 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8935, 7164 is 1.
Highest Common Factor of 8935,7164 is 1
Step 1: Since 8935 > 7164, we apply the division lemma to 8935 and 7164, to get
8935 = 7164 x 1 + 1771
Step 2: Since the reminder 7164 ≠ 0, we apply division lemma to 1771 and 7164, to get
7164 = 1771 x 4 + 80
Step 3: We consider the new divisor 1771 and the new remainder 80, and apply the division lemma to get
1771 = 80 x 22 + 11
We consider the new divisor 80 and the new remainder 11,and apply the division lemma to get
80 = 11 x 7 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 8935 and 7164 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(80,11) = HCF(1771,80) = HCF(7164,1771) = HCF(8935,7164) .
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Frequently Asked Questions on HCF of 8935, 7164 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 8935, 7164?
Answer: HCF of 8935, 7164 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8935, 7164 using Euclid's Algorithm?
Answer: For arbitrary numbers 8935, 7164 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.