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 1458, 6498 i.e. 18 the largest integer that leaves a remainder zero for all numbers.
HCF of 1458, 6498 is 18 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 1458, 6498 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 1458, 6498 is 18.
HCF(1458, 6498) = 18
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1458, 6498 is 18.
Step 1: Since 6498 > 1458, we apply the division lemma to 6498 and 1458, to get
6498 = 1458 x 4 + 666
Step 2: Since the reminder 1458 ≠ 0, we apply division lemma to 666 and 1458, to get
1458 = 666 x 2 + 126
Step 3: We consider the new divisor 666 and the new remainder 126, and apply the division lemma to get
666 = 126 x 5 + 36
We consider the new divisor 126 and the new remainder 36,and apply the division lemma to get
126 = 36 x 3 + 18
We consider the new divisor 36 and the new remainder 18,and apply the division lemma to get
36 = 18 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 1458 and 6498 is 18
Notice that 18 = HCF(36,18) = HCF(126,36) = HCF(666,126) = HCF(1458,666) = HCF(6498,1458) .
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 1458, 6498?
Answer: HCF of 1458, 6498 is 18 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1458, 6498 using Euclid's Algorithm?
Answer: For arbitrary numbers 1458, 6498 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.