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 1290, 9628 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1290, 9628 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 1290, 9628 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 1290, 9628 is 2.
HCF(1290, 9628) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1290, 9628 is 2.
Step 1: Since 9628 > 1290, we apply the division lemma to 9628 and 1290, to get
9628 = 1290 x 7 + 598
Step 2: Since the reminder 1290 ≠ 0, we apply division lemma to 598 and 1290, to get
1290 = 598 x 2 + 94
Step 3: We consider the new divisor 598 and the new remainder 94, and apply the division lemma to get
598 = 94 x 6 + 34
We consider the new divisor 94 and the new remainder 34,and apply the division lemma to get
94 = 34 x 2 + 26
We consider the new divisor 34 and the new remainder 26,and apply the division lemma to get
34 = 26 x 1 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 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 1290 and 9628 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(34,26) = HCF(94,34) = HCF(598,94) = HCF(1290,598) = HCF(9628,1290) .
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 1290, 9628?
Answer: HCF of 1290, 9628 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1290, 9628 using Euclid's Algorithm?
Answer: For arbitrary numbers 1290, 9628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.