Highest Common Factor of 3800, 8919 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 3800, 8919 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3800, 8919 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 3800, 8919 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 3800, 8919 is 1.
HCF(3800, 8919) = 1
HCF of 3800, 8919 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3800, 8919 is 1.
Highest Common Factor of 3800,8919 is 1
Step 1: Since 8919 > 3800, we apply the division lemma to 8919 and 3800, to get
8919 = 3800 x 2 + 1319
Step 2: Since the reminder 3800 ≠ 0, we apply division lemma to 1319 and 3800, to get
3800 = 1319 x 2 + 1162
Step 3: We consider the new divisor 1319 and the new remainder 1162, and apply the division lemma to get
1319 = 1162 x 1 + 157
We consider the new divisor 1162 and the new remainder 157,and apply the division lemma to get
1162 = 157 x 7 + 63
We consider the new divisor 157 and the new remainder 63,and apply the division lemma to get
157 = 63 x 2 + 31
We consider the new divisor 63 and the new remainder 31,and apply the division lemma to get
63 = 31 x 2 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3800 and 8919 is 1
Notice that 1 = HCF(31,1) = HCF(63,31) = HCF(157,63) = HCF(1162,157) = HCF(1319,1162) = HCF(3800,1319) = HCF(8919,3800) .
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Frequently Asked Questions on HCF of 3800, 8919 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 3800, 8919?
Answer: HCF of 3800, 8919 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3800, 8919 using Euclid's Algorithm?
Answer: For arbitrary numbers 3800, 8919 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.