Highest Common Factor of 1838, 8416 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 1838, 8416 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1838, 8416 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 1838, 8416 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 1838, 8416 is 2.
HCF(1838, 8416) = 2
HCF of 1838, 8416 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1838, 8416 is 2.
Highest Common Factor of 1838,8416 is 2
Step 1: Since 8416 > 1838, we apply the division lemma to 8416 and 1838, to get
8416 = 1838 x 4 + 1064
Step 2: Since the reminder 1838 ≠ 0, we apply division lemma to 1064 and 1838, to get
1838 = 1064 x 1 + 774
Step 3: We consider the new divisor 1064 and the new remainder 774, and apply the division lemma to get
1064 = 774 x 1 + 290
We consider the new divisor 774 and the new remainder 290,and apply the division lemma to get
774 = 290 x 2 + 194
We consider the new divisor 290 and the new remainder 194,and apply the division lemma to get
290 = 194 x 1 + 96
We consider the new divisor 194 and the new remainder 96,and apply the division lemma to get
194 = 96 x 2 + 2
We consider the new divisor 96 and the new remainder 2,and apply the division lemma to get
96 = 2 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1838 and 8416 is 2
Notice that 2 = HCF(96,2) = HCF(194,96) = HCF(290,194) = HCF(774,290) = HCF(1064,774) = HCF(1838,1064) = HCF(8416,1838) .
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Frequently Asked Questions on HCF of 1838, 8416 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 1838, 8416?
Answer: HCF of 1838, 8416 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1838, 8416 using Euclid's Algorithm?
Answer: For arbitrary numbers 1838, 8416 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.