Highest Common Factor of 5572, 4694, 81788 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 5572, 4694, 81788 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5572, 4694, 81788 is 2 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 5572, 4694, 81788 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 5572, 4694, 81788 is 2.
HCF(5572, 4694, 81788) = 2
HCF of 5572, 4694, 81788 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5572, 4694, 81788 is 2.
Highest Common Factor of 5572,4694,81788 is 2
Step 1: Since 5572 > 4694, we apply the division lemma to 5572 and 4694, to get
5572 = 4694 x 1 + 878
Step 2: Since the reminder 4694 ≠ 0, we apply division lemma to 878 and 4694, to get
4694 = 878 x 5 + 304
Step 3: We consider the new divisor 878 and the new remainder 304, and apply the division lemma to get
878 = 304 x 2 + 270
We consider the new divisor 304 and the new remainder 270,and apply the division lemma to get
304 = 270 x 1 + 34
We consider the new divisor 270 and the new remainder 34,and apply the division lemma to get
270 = 34 x 7 + 32
We consider the new divisor 34 and the new remainder 32,and apply the division lemma to get
34 = 32 x 1 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5572 and 4694 is 2
Notice that 2 = HCF(32,2) = HCF(34,32) = HCF(270,34) = HCF(304,270) = HCF(878,304) = HCF(4694,878) = HCF(5572,4694) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 81788 > 2, we apply the division lemma to 81788 and 2, to get
81788 = 2 x 40894 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 81788 is 2
Notice that 2 = HCF(81788,2) .
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Frequently Asked Questions on HCF of 5572, 4694, 81788 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 5572, 4694, 81788?
Answer: HCF of 5572, 4694, 81788 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5572, 4694, 81788 using Euclid's Algorithm?
Answer: For arbitrary numbers 5572, 4694, 81788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.