Highest Common Factor of 7901, 5995 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 7901, 5995 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7901, 5995 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 7901, 5995 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 7901, 5995 is 1.
HCF(7901, 5995) = 1
HCF of 7901, 5995 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7901, 5995 is 1.
Highest Common Factor of 7901,5995 is 1
Step 1: Since 7901 > 5995, we apply the division lemma to 7901 and 5995, to get
7901 = 5995 x 1 + 1906
Step 2: Since the reminder 5995 ≠ 0, we apply division lemma to 1906 and 5995, to get
5995 = 1906 x 3 + 277
Step 3: We consider the new divisor 1906 and the new remainder 277, and apply the division lemma to get
1906 = 277 x 6 + 244
We consider the new divisor 277 and the new remainder 244,and apply the division lemma to get
277 = 244 x 1 + 33
We consider the new divisor 244 and the new remainder 33,and apply the division lemma to get
244 = 33 x 7 + 13
We consider the new divisor 33 and the new remainder 13,and apply the division lemma to get
33 = 13 x 2 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7901 and 5995 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(33,13) = HCF(244,33) = HCF(277,244) = HCF(1906,277) = HCF(5995,1906) = HCF(7901,5995) .
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Frequently Asked Questions on HCF of 7901, 5995 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 7901, 5995?
Answer: HCF of 7901, 5995 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7901, 5995 using Euclid's Algorithm?
Answer: For arbitrary numbers 7901, 5995 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
