Highest Common Factor of 8381, 7505 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 8381, 7505 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8381, 7505 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 8381, 7505 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 8381, 7505 is 1.
HCF(8381, 7505) = 1
HCF of 8381, 7505 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8381, 7505 is 1.
Highest Common Factor of 8381,7505 is 1
Step 1: Since 8381 > 7505, we apply the division lemma to 8381 and 7505, to get
8381 = 7505 x 1 + 876
Step 2: Since the reminder 7505 ≠ 0, we apply division lemma to 876 and 7505, to get
7505 = 876 x 8 + 497
Step 3: We consider the new divisor 876 and the new remainder 497, and apply the division lemma to get
876 = 497 x 1 + 379
We consider the new divisor 497 and the new remainder 379,and apply the division lemma to get
497 = 379 x 1 + 118
We consider the new divisor 379 and the new remainder 118,and apply the division lemma to get
379 = 118 x 3 + 25
We consider the new divisor 118 and the new remainder 25,and apply the division lemma to get
118 = 25 x 4 + 18
We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get
25 = 18 x 1 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 8381 and 7505 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(118,25) = HCF(379,118) = HCF(497,379) = HCF(876,497) = HCF(7505,876) = HCF(8381,7505) .
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Frequently Asked Questions on HCF of 8381, 7505 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 8381, 7505?
Answer: HCF of 8381, 7505 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8381, 7505 using Euclid's Algorithm?
Answer: For arbitrary numbers 8381, 7505 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.