Highest Common Factor of 885, 472 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 885, 472 i.e. 59 the largest integer that leaves a remainder zero for all numbers.
HCF of 885, 472 is 59 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 885, 472 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 885, 472 is 59.
HCF(885, 472) = 59
HCF of 885, 472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 885, 472 is 59.
Highest Common Factor of 885,472 is 59
Step 1: Since 885 > 472, we apply the division lemma to 885 and 472, to get
885 = 472 x 1 + 413
Step 2: Since the reminder 472 ≠ 0, we apply division lemma to 413 and 472, to get
472 = 413 x 1 + 59
Step 3: We consider the new divisor 413 and the new remainder 59, and apply the division lemma to get
413 = 59 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 59, the HCF of 885 and 472 is 59
Notice that 59 = HCF(413,59) = HCF(472,413) = HCF(885,472) .
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Frequently Asked Questions on HCF of 885, 472 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 885, 472?
Answer: HCF of 885, 472 is 59 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 885, 472 using Euclid's Algorithm?
Answer: For arbitrary numbers 885, 472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.