Highest Common Factor of 5371, 5025 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 5371, 5025 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5371, 5025 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 5371, 5025 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 5371, 5025 is 1.
HCF(5371, 5025) = 1
HCF of 5371, 5025 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5371, 5025 is 1.
Highest Common Factor of 5371,5025 is 1
Step 1: Since 5371 > 5025, we apply the division lemma to 5371 and 5025, to get
5371 = 5025 x 1 + 346
Step 2: Since the reminder 5025 ≠ 0, we apply division lemma to 346 and 5025, to get
5025 = 346 x 14 + 181
Step 3: We consider the new divisor 346 and the new remainder 181, and apply the division lemma to get
346 = 181 x 1 + 165
We consider the new divisor 181 and the new remainder 165,and apply the division lemma to get
181 = 165 x 1 + 16
We consider the new divisor 165 and the new remainder 16,and apply the division lemma to get
165 = 16 x 10 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5371 and 5025 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(165,16) = HCF(181,165) = HCF(346,181) = HCF(5025,346) = HCF(5371,5025) .
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Frequently Asked Questions on HCF of 5371, 5025 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 5371, 5025?
Answer: HCF of 5371, 5025 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5371, 5025 using Euclid's Algorithm?
Answer: For arbitrary numbers 5371, 5025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.