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 4353, 5665 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4353, 5665 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 4353, 5665 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 4353, 5665 is 1.
HCF(4353, 5665) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4353, 5665 is 1.
Step 1: Since 5665 > 4353, we apply the division lemma to 5665 and 4353, to get
5665 = 4353 x 1 + 1312
Step 2: Since the reminder 4353 ≠ 0, we apply division lemma to 1312 and 4353, to get
4353 = 1312 x 3 + 417
Step 3: We consider the new divisor 1312 and the new remainder 417, and apply the division lemma to get
1312 = 417 x 3 + 61
We consider the new divisor 417 and the new remainder 61,and apply the division lemma to get
417 = 61 x 6 + 51
We consider the new divisor 61 and the new remainder 51,and apply the division lemma to get
61 = 51 x 1 + 10
We consider the new divisor 51 and the new remainder 10,and apply the division lemma to get
51 = 10 x 5 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4353 and 5665 is 1
Notice that 1 = HCF(10,1) = HCF(51,10) = HCF(61,51) = HCF(417,61) = HCF(1312,417) = HCF(4353,1312) = HCF(5665,4353) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4353, 5665?
Answer: HCF of 4353, 5665 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4353, 5665 using Euclid's Algorithm?
Answer: For arbitrary numbers 4353, 5665 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.