Highest Common Factor of 995, 37328 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 995, 37328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 995, 37328 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 995, 37328 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 995, 37328 is 1.
HCF(995, 37328) = 1
HCF of 995, 37328 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 995, 37328 is 1.
Highest Common Factor of 995,37328 is 1
Step 1: Since 37328 > 995, we apply the division lemma to 37328 and 995, to get
37328 = 995 x 37 + 513
Step 2: Since the reminder 995 ≠ 0, we apply division lemma to 513 and 995, to get
995 = 513 x 1 + 482
Step 3: We consider the new divisor 513 and the new remainder 482, and apply the division lemma to get
513 = 482 x 1 + 31
We consider the new divisor 482 and the new remainder 31,and apply the division lemma to get
482 = 31 x 15 + 17
We consider the new divisor 31 and the new remainder 17,and apply the division lemma to get
31 = 17 x 1 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 995 and 37328 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(31,17) = HCF(482,31) = HCF(513,482) = HCF(995,513) = HCF(37328,995) .
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Frequently Asked Questions on HCF of 995, 37328 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 995, 37328?
Answer: HCF of 995, 37328 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 995, 37328 using Euclid's Algorithm?
Answer: For arbitrary numbers 995, 37328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.