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 5154, 6492 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5154, 6492 is 6 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 5154, 6492 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 5154, 6492 is 6.
HCF(5154, 6492) = 6
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5154, 6492 is 6.
Step 1: Since 6492 > 5154, we apply the division lemma to 6492 and 5154, to get
6492 = 5154 x 1 + 1338
Step 2: Since the reminder 5154 ≠ 0, we apply division lemma to 1338 and 5154, to get
5154 = 1338 x 3 + 1140
Step 3: We consider the new divisor 1338 and the new remainder 1140, and apply the division lemma to get
1338 = 1140 x 1 + 198
We consider the new divisor 1140 and the new remainder 198,and apply the division lemma to get
1140 = 198 x 5 + 150
We consider the new divisor 198 and the new remainder 150,and apply the division lemma to get
198 = 150 x 1 + 48
We consider the new divisor 150 and the new remainder 48,and apply the division lemma to get
150 = 48 x 3 + 6
We consider the new divisor 48 and the new remainder 6,and apply the division lemma to get
48 = 6 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5154 and 6492 is 6
Notice that 6 = HCF(48,6) = HCF(150,48) = HCF(198,150) = HCF(1140,198) = HCF(1338,1140) = HCF(5154,1338) = HCF(6492,5154) .
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 5154, 6492?
Answer: HCF of 5154, 6492 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5154, 6492 using Euclid's Algorithm?
Answer: For arbitrary numbers 5154, 6492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.