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 5406, 2860 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5406, 2860 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 5406, 2860 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 5406, 2860 is 2.
HCF(5406, 2860) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5406, 2860 is 2.
Step 1: Since 5406 > 2860, we apply the division lemma to 5406 and 2860, to get
5406 = 2860 x 1 + 2546
Step 2: Since the reminder 2860 ≠ 0, we apply division lemma to 2546 and 2860, to get
2860 = 2546 x 1 + 314
Step 3: We consider the new divisor 2546 and the new remainder 314, and apply the division lemma to get
2546 = 314 x 8 + 34
We consider the new divisor 314 and the new remainder 34,and apply the division lemma to get
314 = 34 x 9 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5406 and 2860 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(314,34) = HCF(2546,314) = HCF(2860,2546) = HCF(5406,2860) .
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 5406, 2860?
Answer: HCF of 5406, 2860 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5406, 2860 using Euclid's Algorithm?
Answer: For arbitrary numbers 5406, 2860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.