Highest Common Factor of 7838, 4189 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 7838, 4189 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7838, 4189 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 7838, 4189 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 7838, 4189 is 1.
HCF(7838, 4189) = 1
HCF of 7838, 4189 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7838, 4189 is 1.
Highest Common Factor of 7838,4189 is 1
Step 1: Since 7838 > 4189, we apply the division lemma to 7838 and 4189, to get
7838 = 4189 x 1 + 3649
Step 2: Since the reminder 4189 ≠ 0, we apply division lemma to 3649 and 4189, to get
4189 = 3649 x 1 + 540
Step 3: We consider the new divisor 3649 and the new remainder 540, and apply the division lemma to get
3649 = 540 x 6 + 409
We consider the new divisor 540 and the new remainder 409,and apply the division lemma to get
540 = 409 x 1 + 131
We consider the new divisor 409 and the new remainder 131,and apply the division lemma to get
409 = 131 x 3 + 16
We consider the new divisor 131 and the new remainder 16,and apply the division lemma to get
131 = 16 x 8 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 7838 and 4189 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(131,16) = HCF(409,131) = HCF(540,409) = HCF(3649,540) = HCF(4189,3649) = HCF(7838,4189) .
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Frequently Asked Questions on HCF of 7838, 4189 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 7838, 4189?
Answer: HCF of 7838, 4189 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7838, 4189 using Euclid's Algorithm?
Answer: For arbitrary numbers 7838, 4189 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.