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 4293, 6894 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 4293, 6894 is 9 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 4293, 6894 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 4293, 6894 is 9.
HCF(4293, 6894) = 9
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4293, 6894 is 9.
Step 1: Since 6894 > 4293, we apply the division lemma to 6894 and 4293, to get
6894 = 4293 x 1 + 2601
Step 2: Since the reminder 4293 ≠ 0, we apply division lemma to 2601 and 4293, to get
4293 = 2601 x 1 + 1692
Step 3: We consider the new divisor 2601 and the new remainder 1692, and apply the division lemma to get
2601 = 1692 x 1 + 909
We consider the new divisor 1692 and the new remainder 909,and apply the division lemma to get
1692 = 909 x 1 + 783
We consider the new divisor 909 and the new remainder 783,and apply the division lemma to get
909 = 783 x 1 + 126
We consider the new divisor 783 and the new remainder 126,and apply the division lemma to get
783 = 126 x 6 + 27
We consider the new divisor 126 and the new remainder 27,and apply the division lemma to get
126 = 27 x 4 + 18
We consider the new divisor 27 and the new remainder 18,and apply the division lemma to get
27 = 18 x 1 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4293 and 6894 is 9
Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(126,27) = HCF(783,126) = HCF(909,783) = HCF(1692,909) = HCF(2601,1692) = HCF(4293,2601) = HCF(6894,4293) .
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 4293, 6894?
Answer: HCF of 4293, 6894 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4293, 6894 using Euclid's Algorithm?
Answer: For arbitrary numbers 4293, 6894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.