Highest Common Factor of 1634, 1887, 49418 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 1634, 1887, 49418 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1634, 1887, 49418 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 1634, 1887, 49418 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 1634, 1887, 49418 is 1.
HCF(1634, 1887, 49418) = 1
HCF of 1634, 1887, 49418 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1634, 1887, 49418 is 1.
Highest Common Factor of 1634,1887,49418 is 1
Step 1: Since 1887 > 1634, we apply the division lemma to 1887 and 1634, to get
1887 = 1634 x 1 + 253
Step 2: Since the reminder 1634 ≠ 0, we apply division lemma to 253 and 1634, to get
1634 = 253 x 6 + 116
Step 3: We consider the new divisor 253 and the new remainder 116, and apply the division lemma to get
253 = 116 x 2 + 21
We consider the new divisor 116 and the new remainder 21,and apply the division lemma to get
116 = 21 x 5 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1634 and 1887 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(116,21) = HCF(253,116) = HCF(1634,253) = HCF(1887,1634) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 49418 > 1, we apply the division lemma to 49418 and 1, to get
49418 = 1 x 49418 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49418 is 1
Notice that 1 = HCF(49418,1) .
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Frequently Asked Questions on HCF of 1634, 1887, 49418 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 1634, 1887, 49418?
Answer: HCF of 1634, 1887, 49418 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1634, 1887, 49418 using Euclid's Algorithm?
Answer: For arbitrary numbers 1634, 1887, 49418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
