Highest Common Factor of 1898, 5068 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 1898, 5068 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1898, 5068 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 1898, 5068 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 1898, 5068 is 2.
HCF(1898, 5068) = 2
HCF of 1898, 5068 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1898, 5068 is 2.
Highest Common Factor of 1898,5068 is 2
Step 1: Since 5068 > 1898, we apply the division lemma to 5068 and 1898, to get
5068 = 1898 x 2 + 1272
Step 2: Since the reminder 1898 ≠ 0, we apply division lemma to 1272 and 1898, to get
1898 = 1272 x 1 + 626
Step 3: We consider the new divisor 1272 and the new remainder 626, and apply the division lemma to get
1272 = 626 x 2 + 20
We consider the new divisor 626 and the new remainder 20,and apply the division lemma to get
626 = 20 x 31 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1898 and 5068 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(626,20) = HCF(1272,626) = HCF(1898,1272) = HCF(5068,1898) .
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Frequently Asked Questions on HCF of 1898, 5068 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 1898, 5068?
Answer: HCF of 1898, 5068 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1898, 5068 using Euclid's Algorithm?
Answer: For arbitrary numbers 1898, 5068 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.