Highest Common Factor of 5778, 3402 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 5778, 3402 i.e. 54 the largest integer that leaves a remainder zero for all numbers.
HCF of 5778, 3402 is 54 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 5778, 3402 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 5778, 3402 is 54.
HCF(5778, 3402) = 54
HCF of 5778, 3402 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5778, 3402 is 54.
Highest Common Factor of 5778,3402 is 54
Step 1: Since 5778 > 3402, we apply the division lemma to 5778 and 3402, to get
5778 = 3402 x 1 + 2376
Step 2: Since the reminder 3402 ≠ 0, we apply division lemma to 2376 and 3402, to get
3402 = 2376 x 1 + 1026
Step 3: We consider the new divisor 2376 and the new remainder 1026, and apply the division lemma to get
2376 = 1026 x 2 + 324
We consider the new divisor 1026 and the new remainder 324,and apply the division lemma to get
1026 = 324 x 3 + 54
We consider the new divisor 324 and the new remainder 54,and apply the division lemma to get
324 = 54 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 54, the HCF of 5778 and 3402 is 54
Notice that 54 = HCF(324,54) = HCF(1026,324) = HCF(2376,1026) = HCF(3402,2376) = HCF(5778,3402) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5778, 3402 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 5778, 3402?
Answer: HCF of 5778, 3402 is 54 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5778, 3402 using Euclid's Algorithm?
Answer: For arbitrary numbers 5778, 3402 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.