Highest Common Factor of 5696, 2302 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 5696, 2302 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5696, 2302 is 2 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 5696, 2302 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 5696, 2302 is 2.
HCF(5696, 2302) = 2
HCF of 5696, 2302 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5696, 2302 is 2.
Highest Common Factor of 5696,2302 is 2
Step 1: Since 5696 > 2302, we apply the division lemma to 5696 and 2302, to get
5696 = 2302 x 2 + 1092
Step 2: Since the reminder 2302 ≠ 0, we apply division lemma to 1092 and 2302, to get
2302 = 1092 x 2 + 118
Step 3: We consider the new divisor 1092 and the new remainder 118, and apply the division lemma to get
1092 = 118 x 9 + 30
We consider the new divisor 118 and the new remainder 30,and apply the division lemma to get
118 = 30 x 3 + 28
We consider the new divisor 30 and the new remainder 28,and apply the division lemma to get
30 = 28 x 1 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5696 and 2302 is 2
Notice that 2 = HCF(28,2) = HCF(30,28) = HCF(118,30) = HCF(1092,118) = HCF(2302,1092) = HCF(5696,2302) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5696, 2302 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 5696, 2302?
Answer: HCF of 5696, 2302 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5696, 2302 using Euclid's Algorithm?
Answer: For arbitrary numbers 5696, 2302 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.