Highest Common Factor of 3678, 9295 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 3678, 9295 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3678, 9295 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 3678, 9295 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 3678, 9295 is 1.
HCF(3678, 9295) = 1
HCF of 3678, 9295 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3678, 9295 is 1.
Highest Common Factor of 3678,9295 is 1
Step 1: Since 9295 > 3678, we apply the division lemma to 9295 and 3678, to get
9295 = 3678 x 2 + 1939
Step 2: Since the reminder 3678 ≠ 0, we apply division lemma to 1939 and 3678, to get
3678 = 1939 x 1 + 1739
Step 3: We consider the new divisor 1939 and the new remainder 1739, and apply the division lemma to get
1939 = 1739 x 1 + 200
We consider the new divisor 1739 and the new remainder 200,and apply the division lemma to get
1739 = 200 x 8 + 139
We consider the new divisor 200 and the new remainder 139,and apply the division lemma to get
200 = 139 x 1 + 61
We consider the new divisor 139 and the new remainder 61,and apply the division lemma to get
139 = 61 x 2 + 17
We consider the new divisor 61 and the new remainder 17,and apply the division lemma to get
61 = 17 x 3 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3678 and 9295 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(61,17) = HCF(139,61) = HCF(200,139) = HCF(1739,200) = HCF(1939,1739) = HCF(3678,1939) = HCF(9295,3678) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3678, 9295 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 3678, 9295?
Answer: HCF of 3678, 9295 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3678, 9295 using Euclid's Algorithm?
Answer: For arbitrary numbers 3678, 9295 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.