Highest Common Factor of 521, 8194 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 521, 8194 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 521, 8194 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 521, 8194 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 521, 8194 is 1.
HCF(521, 8194) = 1
HCF of 521, 8194 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 521, 8194 is 1.
Highest Common Factor of 521,8194 is 1
Step 1: Since 8194 > 521, we apply the division lemma to 8194 and 521, to get
8194 = 521 x 15 + 379
Step 2: Since the reminder 521 ≠ 0, we apply division lemma to 379 and 521, to get
521 = 379 x 1 + 142
Step 3: We consider the new divisor 379 and the new remainder 142, and apply the division lemma to get
379 = 142 x 2 + 95
We consider the new divisor 142 and the new remainder 95,and apply the division lemma to get
142 = 95 x 1 + 47
We consider the new divisor 95 and the new remainder 47,and apply the division lemma to get
95 = 47 x 2 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 521 and 8194 is 1
Notice that 1 = HCF(47,1) = HCF(95,47) = HCF(142,95) = HCF(379,142) = HCF(521,379) = HCF(8194,521) .
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Frequently Asked Questions on HCF of 521, 8194 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 521, 8194?
Answer: HCF of 521, 8194 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 521, 8194 using Euclid's Algorithm?
Answer: For arbitrary numbers 521, 8194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.