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 7630, 1626 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7630, 1626 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 7630, 1626 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 7630, 1626 is 2.
HCF(7630, 1626) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7630, 1626 is 2.
Step 1: Since 7630 > 1626, we apply the division lemma to 7630 and 1626, to get
7630 = 1626 x 4 + 1126
Step 2: Since the reminder 1626 ≠ 0, we apply division lemma to 1126 and 1626, to get
1626 = 1126 x 1 + 500
Step 3: We consider the new divisor 1126 and the new remainder 500, and apply the division lemma to get
1126 = 500 x 2 + 126
We consider the new divisor 500 and the new remainder 126,and apply the division lemma to get
500 = 126 x 3 + 122
We consider the new divisor 126 and the new remainder 122,and apply the division lemma to get
126 = 122 x 1 + 4
We consider the new divisor 122 and the new remainder 4,and apply the division lemma to get
122 = 4 x 30 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7630 and 1626 is 2
Notice that 2 = HCF(4,2) = HCF(122,4) = HCF(126,122) = HCF(500,126) = HCF(1126,500) = HCF(1626,1126) = HCF(7630,1626) .
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 7630, 1626?
Answer: HCF of 7630, 1626 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7630, 1626 using Euclid's Algorithm?
Answer: For arbitrary numbers 7630, 1626 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.