Highest Common Factor of 7331, 5901 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 7331, 5901 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7331, 5901 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 7331, 5901 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 7331, 5901 is 1.
HCF(7331, 5901) = 1
HCF of 7331, 5901 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7331, 5901 is 1.
Highest Common Factor of 7331,5901 is 1
Step 1: Since 7331 > 5901, we apply the division lemma to 7331 and 5901, to get
7331 = 5901 x 1 + 1430
Step 2: Since the reminder 5901 ≠ 0, we apply division lemma to 1430 and 5901, to get
5901 = 1430 x 4 + 181
Step 3: We consider the new divisor 1430 and the new remainder 181, and apply the division lemma to get
1430 = 181 x 7 + 163
We consider the new divisor 181 and the new remainder 163,and apply the division lemma to get
181 = 163 x 1 + 18
We consider the new divisor 163 and the new remainder 18,and apply the division lemma to get
163 = 18 x 9 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7331 and 5901 is 1
Notice that 1 = HCF(18,1) = HCF(163,18) = HCF(181,163) = HCF(1430,181) = HCF(5901,1430) = HCF(7331,5901) .
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Frequently Asked Questions on HCF of 7331, 5901 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 7331, 5901?
Answer: HCF of 7331, 5901 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7331, 5901 using Euclid's Algorithm?
Answer: For arbitrary numbers 7331, 5901 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
