Highest Common Factor of 3802, 8138 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 3802, 8138 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3802, 8138 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 3802, 8138 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 3802, 8138 is 2.
HCF(3802, 8138) = 2
HCF of 3802, 8138 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3802, 8138 is 2.
Highest Common Factor of 3802,8138 is 2
Step 1: Since 8138 > 3802, we apply the division lemma to 8138 and 3802, to get
8138 = 3802 x 2 + 534
Step 2: Since the reminder 3802 ≠ 0, we apply division lemma to 534 and 3802, to get
3802 = 534 x 7 + 64
Step 3: We consider the new divisor 534 and the new remainder 64, and apply the division lemma to get
534 = 64 x 8 + 22
We consider the new divisor 64 and the new remainder 22,and apply the division lemma to get
64 = 22 x 2 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3802 and 8138 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(64,22) = HCF(534,64) = HCF(3802,534) = HCF(8138,3802) .
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Frequently Asked Questions on HCF of 3802, 8138 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 3802, 8138?
Answer: HCF of 3802, 8138 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3802, 8138 using Euclid's Algorithm?
Answer: For arbitrary numbers 3802, 8138 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
