Highest Common Factor of 885, 63334 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, 63334 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 885, 63334 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 885, 63334 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, 63334 is 1.
HCF(885, 63334) = 1
HCF of 885, 63334 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, 63334 is 1.
Highest Common Factor of 885,63334 is 1
Step 1: Since 63334 > 885, we apply the division lemma to 63334 and 885, to get
63334 = 885 x 71 + 499
Step 2: Since the reminder 885 ≠ 0, we apply division lemma to 499 and 885, to get
885 = 499 x 1 + 386
Step 3: We consider the new divisor 499 and the new remainder 386, and apply the division lemma to get
499 = 386 x 1 + 113
We consider the new divisor 386 and the new remainder 113,and apply the division lemma to get
386 = 113 x 3 + 47
We consider the new divisor 113 and the new remainder 47,and apply the division lemma to get
113 = 47 x 2 + 19
We consider the new divisor 47 and the new remainder 19,and apply the division lemma to get
47 = 19 x 2 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 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 885 and 63334 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(47,19) = HCF(113,47) = HCF(386,113) = HCF(499,386) = HCF(885,499) = HCF(63334,885) .
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Frequently Asked Questions on HCF of 885, 63334 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, 63334?
Answer: HCF of 885, 63334 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 885, 63334 using Euclid's Algorithm?
Answer: For arbitrary numbers 885, 63334 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.