Highest Common Factor of 1757, 4422 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 1757, 4422 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1757, 4422 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 1757, 4422 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 1757, 4422 is 1.
HCF(1757, 4422) = 1
HCF of 1757, 4422 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1757, 4422 is 1.
Highest Common Factor of 1757,4422 is 1
Step 1: Since 4422 > 1757, we apply the division lemma to 4422 and 1757, to get
4422 = 1757 x 2 + 908
Step 2: Since the reminder 1757 ≠ 0, we apply division lemma to 908 and 1757, to get
1757 = 908 x 1 + 849
Step 3: We consider the new divisor 908 and the new remainder 849, and apply the division lemma to get
908 = 849 x 1 + 59
We consider the new divisor 849 and the new remainder 59,and apply the division lemma to get
849 = 59 x 14 + 23
We consider the new divisor 59 and the new remainder 23,and apply the division lemma to get
59 = 23 x 2 + 13
We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get
23 = 13 x 1 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 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 1757 and 4422 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(59,23) = HCF(849,59) = HCF(908,849) = HCF(1757,908) = HCF(4422,1757) .
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Frequently Asked Questions on HCF of 1757, 4422 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 1757, 4422?
Answer: HCF of 1757, 4422 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1757, 4422 using Euclid's Algorithm?
Answer: For arbitrary numbers 1757, 4422 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.