Highest Common Factor of 561, 4620, 2782 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, 4620, 2782 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 561, 4620, 2782 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 561, 4620, 2782 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, 4620, 2782 is 1.
HCF(561, 4620, 2782) = 1
HCF of 561, 4620, 2782 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, 4620, 2782 is 1.
Highest Common Factor of 561,4620,2782 is 1
Step 1: Since 4620 > 561, we apply the division lemma to 4620 and 561, to get
4620 = 561 x 8 + 132
Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 132 and 561, to get
561 = 132 x 4 + 33
Step 3: We consider the new divisor 132 and the new remainder 33, and apply the division lemma to get
132 = 33 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 561 and 4620 is 33
Notice that 33 = HCF(132,33) = HCF(561,132) = HCF(4620,561) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2782 > 33, we apply the division lemma to 2782 and 33, to get
2782 = 33 x 84 + 10
Step 2: Since the reminder 33 ≠ 0, we apply division lemma to 10 and 33, to get
33 = 10 x 3 + 3
Step 3: We consider the new divisor 10 and the new remainder 3, and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 33 and 2782 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(33,10) = HCF(2782,33) .
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Frequently Asked Questions on HCF of 561, 4620, 2782 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, 4620, 2782?
Answer: HCF of 561, 4620, 2782 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 561, 4620, 2782 using Euclid's Algorithm?
Answer: For arbitrary numbers 561, 4620, 2782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
