Highest Common Factor of 5901, 7000 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 5901, 7000 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5901, 7000 is 7 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 5901, 7000 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 5901, 7000 is 7.
HCF(5901, 7000) = 7
HCF of 5901, 7000 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5901, 7000 is 7.
Highest Common Factor of 5901,7000 is 7
Step 1: Since 7000 > 5901, we apply the division lemma to 7000 and 5901, to get
7000 = 5901 x 1 + 1099
Step 2: Since the reminder 5901 ≠ 0, we apply division lemma to 1099 and 5901, to get
5901 = 1099 x 5 + 406
Step 3: We consider the new divisor 1099 and the new remainder 406, and apply the division lemma to get
1099 = 406 x 2 + 287
We consider the new divisor 406 and the new remainder 287,and apply the division lemma to get
406 = 287 x 1 + 119
We consider the new divisor 287 and the new remainder 119,and apply the division lemma to get
287 = 119 x 2 + 49
We consider the new divisor 119 and the new remainder 49,and apply the division lemma to get
119 = 49 x 2 + 21
We consider the new divisor 49 and the new remainder 21,and apply the division lemma to get
49 = 21 x 2 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5901 and 7000 is 7
Notice that 7 = HCF(21,7) = HCF(49,21) = HCF(119,49) = HCF(287,119) = HCF(406,287) = HCF(1099,406) = HCF(5901,1099) = HCF(7000,5901) .
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Frequently Asked Questions on HCF of 5901, 7000 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 5901, 7000?
Answer: HCF of 5901, 7000 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5901, 7000 using Euclid's Algorithm?
Answer: For arbitrary numbers 5901, 7000 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.