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 4395, 6154 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4395, 6154 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 4395, 6154 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 4395, 6154 is 1.
HCF(4395, 6154) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4395, 6154 is 1.
Step 1: Since 6154 > 4395, we apply the division lemma to 6154 and 4395, to get
6154 = 4395 x 1 + 1759
Step 2: Since the reminder 4395 ≠ 0, we apply division lemma to 1759 and 4395, to get
4395 = 1759 x 2 + 877
Step 3: We consider the new divisor 1759 and the new remainder 877, and apply the division lemma to get
1759 = 877 x 2 + 5
We consider the new divisor 877 and the new remainder 5,and apply the division lemma to get
877 = 5 x 175 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4395 and 6154 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(877,5) = HCF(1759,877) = HCF(4395,1759) = HCF(6154,4395) .
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 4395, 6154?
Answer: HCF of 4395, 6154 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4395, 6154 using Euclid's Algorithm?
Answer: For arbitrary numbers 4395, 6154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.