Highest Common Factor of 995, 95798 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, 95798 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 995, 95798 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, 95798 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, 95798 is 1.
HCF(995, 95798) = 1
HCF of 995, 95798 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, 95798 is 1.
Highest Common Factor of 995,95798 is 1
Step 1: Since 95798 > 995, we apply the division lemma to 95798 and 995, to get
95798 = 995 x 96 + 278
Step 2: Since the reminder 995 ≠ 0, we apply division lemma to 278 and 995, to get
995 = 278 x 3 + 161
Step 3: We consider the new divisor 278 and the new remainder 161, and apply the division lemma to get
278 = 161 x 1 + 117
We consider the new divisor 161 and the new remainder 117,and apply the division lemma to get
161 = 117 x 1 + 44
We consider the new divisor 117 and the new remainder 44,and apply the division lemma to get
117 = 44 x 2 + 29
We consider the new divisor 44 and the new remainder 29,and apply the division lemma to get
44 = 29 x 1 + 15
We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get
29 = 15 x 1 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 995 and 95798 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(44,29) = HCF(117,44) = HCF(161,117) = HCF(278,161) = HCF(995,278) = HCF(95798,995) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 995, 95798 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, 95798?
Answer: HCF of 995, 95798 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 995, 95798 using Euclid's Algorithm?
Answer: For arbitrary numbers 995, 95798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.