Highest Common Factor of 5926, 7291 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 5926, 7291 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5926, 7291 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 5926, 7291 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 5926, 7291 is 1.
HCF(5926, 7291) = 1
HCF of 5926, 7291 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5926, 7291 is 1.
Highest Common Factor of 5926,7291 is 1
Step 1: Since 7291 > 5926, we apply the division lemma to 7291 and 5926, to get
7291 = 5926 x 1 + 1365
Step 2: Since the reminder 5926 ≠ 0, we apply division lemma to 1365 and 5926, to get
5926 = 1365 x 4 + 466
Step 3: We consider the new divisor 1365 and the new remainder 466, and apply the division lemma to get
1365 = 466 x 2 + 433
We consider the new divisor 466 and the new remainder 433,and apply the division lemma to get
466 = 433 x 1 + 33
We consider the new divisor 433 and the new remainder 33,and apply the division lemma to get
433 = 33 x 13 + 4
We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get
33 = 4 x 8 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5926 and 7291 is 1
Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(433,33) = HCF(466,433) = HCF(1365,466) = HCF(5926,1365) = HCF(7291,5926) .
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Frequently Asked Questions on HCF of 5926, 7291 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 5926, 7291?
Answer: HCF of 5926, 7291 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5926, 7291 using Euclid's Algorithm?
Answer: For arbitrary numbers 5926, 7291 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
