Highest Common Factor of 820, 87904 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 820, 87904 i.e. 164 the largest integer that leaves a remainder zero for all numbers.
HCF of 820, 87904 is 164 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 820, 87904 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 820, 87904 is 164.
HCF(820, 87904) = 164
HCF of 820, 87904 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 820, 87904 is 164.
Highest Common Factor of 820,87904 is 164
Step 1: Since 87904 > 820, we apply the division lemma to 87904 and 820, to get
87904 = 820 x 107 + 164
Step 2: Since the reminder 820 ≠ 0, we apply division lemma to 164 and 820, to get
820 = 164 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 164, the HCF of 820 and 87904 is 164
Notice that 164 = HCF(820,164) = HCF(87904,820) .
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Frequently Asked Questions on HCF of 820, 87904 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 820, 87904?
Answer: HCF of 820, 87904 is 164 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 820, 87904 using Euclid's Algorithm?
Answer: For arbitrary numbers 820, 87904 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.