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 4307, 678 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4307, 678 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 4307, 678 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 4307, 678 is 1.
HCF(4307, 678) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4307, 678 is 1.
Step 1: Since 4307 > 678, we apply the division lemma to 4307 and 678, to get
4307 = 678 x 6 + 239
Step 2: Since the reminder 678 ≠ 0, we apply division lemma to 239 and 678, to get
678 = 239 x 2 + 200
Step 3: We consider the new divisor 239 and the new remainder 200, and apply the division lemma to get
239 = 200 x 1 + 39
We consider the new divisor 200 and the new remainder 39,and apply the division lemma to get
200 = 39 x 5 + 5
We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get
39 = 5 x 7 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4307 and 678 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(200,39) = HCF(239,200) = HCF(678,239) = HCF(4307,678) .
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 4307, 678?
Answer: HCF of 4307, 678 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4307, 678 using Euclid's Algorithm?
Answer: For arbitrary numbers 4307, 678 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.