Highest Common Factor of 561, 4785 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 561, 4785 i.e. 33 the largest integer that leaves a remainder zero for all numbers.
HCF of 561, 4785 is 33 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 561, 4785 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 561, 4785 is 33.
HCF(561, 4785) = 33
HCF of 561, 4785 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 561, 4785 is 33.
Highest Common Factor of 561,4785 is 33
Step 1: Since 4785 > 561, we apply the division lemma to 4785 and 561, to get
4785 = 561 x 8 + 297
Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 297 and 561, to get
561 = 297 x 1 + 264
Step 3: We consider the new divisor 297 and the new remainder 264, and apply the division lemma to get
297 = 264 x 1 + 33
We consider the new divisor 264 and the new remainder 33, and apply the division lemma to get
264 = 33 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 561 and 4785 is 33
Notice that 33 = HCF(264,33) = HCF(297,264) = HCF(561,297) = HCF(4785,561) .
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Frequently Asked Questions on HCF of 561, 4785 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 561, 4785?
Answer: HCF of 561, 4785 is 33 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 561, 4785 using Euclid's Algorithm?
Answer: For arbitrary numbers 561, 4785 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.