Highest Common Factor of 824, 7612, 2853 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 824, 7612, 2853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 824, 7612, 2853 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 824, 7612, 2853 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 824, 7612, 2853 is 1.
HCF(824, 7612, 2853) = 1
HCF of 824, 7612, 2853 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 824, 7612, 2853 is 1.
Highest Common Factor of 824,7612,2853 is 1
Step 1: Since 7612 > 824, we apply the division lemma to 7612 and 824, to get
7612 = 824 x 9 + 196
Step 2: Since the reminder 824 ≠ 0, we apply division lemma to 196 and 824, to get
824 = 196 x 4 + 40
Step 3: We consider the new divisor 196 and the new remainder 40, and apply the division lemma to get
196 = 40 x 4 + 36
We consider the new divisor 40 and the new remainder 36,and apply the division lemma to get
40 = 36 x 1 + 4
We consider the new divisor 36 and the new remainder 4,and apply the division lemma to get
36 = 4 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 824 and 7612 is 4
Notice that 4 = HCF(36,4) = HCF(40,36) = HCF(196,40) = HCF(824,196) = HCF(7612,824) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2853 > 4, we apply the division lemma to 2853 and 4, to get
2853 = 4 x 713 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 2853 is 1
Notice that 1 = HCF(4,1) = HCF(2853,4) .
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Frequently Asked Questions on HCF of 824, 7612, 2853 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 824, 7612, 2853?
Answer: HCF of 824, 7612, 2853 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 824, 7612, 2853 using Euclid's Algorithm?
Answer: For arbitrary numbers 824, 7612, 2853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.