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 5402, 2426 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5402, 2426 is 2 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 5402, 2426 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 5402, 2426 is 2.
HCF(5402, 2426) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5402, 2426 is 2.
Step 1: Since 5402 > 2426, we apply the division lemma to 5402 and 2426, to get
5402 = 2426 x 2 + 550
Step 2: Since the reminder 2426 ≠ 0, we apply division lemma to 550 and 2426, to get
2426 = 550 x 4 + 226
Step 3: We consider the new divisor 550 and the new remainder 226, and apply the division lemma to get
550 = 226 x 2 + 98
We consider the new divisor 226 and the new remainder 98,and apply the division lemma to get
226 = 98 x 2 + 30
We consider the new divisor 98 and the new remainder 30,and apply the division lemma to get
98 = 30 x 3 + 8
We consider the new divisor 30 and the new remainder 8,and apply the division lemma to get
30 = 8 x 3 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5402 and 2426 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(30,8) = HCF(98,30) = HCF(226,98) = HCF(550,226) = HCF(2426,550) = HCF(5402,2426) .
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 5402, 2426?
Answer: HCF of 5402, 2426 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5402, 2426 using Euclid's Algorithm?
Answer: For arbitrary numbers 5402, 2426 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.