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 8110, 5626 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8110, 5626 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 8110, 5626 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 8110, 5626 is 2.
HCF(8110, 5626) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8110, 5626 is 2.
Step 1: Since 8110 > 5626, we apply the division lemma to 8110 and 5626, to get
8110 = 5626 x 1 + 2484
Step 2: Since the reminder 5626 ≠ 0, we apply division lemma to 2484 and 5626, to get
5626 = 2484 x 2 + 658
Step 3: We consider the new divisor 2484 and the new remainder 658, and apply the division lemma to get
2484 = 658 x 3 + 510
We consider the new divisor 658 and the new remainder 510,and apply the division lemma to get
658 = 510 x 1 + 148
We consider the new divisor 510 and the new remainder 148,and apply the division lemma to get
510 = 148 x 3 + 66
We consider the new divisor 148 and the new remainder 66,and apply the division lemma to get
148 = 66 x 2 + 16
We consider the new divisor 66 and the new remainder 16,and apply the division lemma to get
66 = 16 x 4 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8110 and 5626 is 2
Notice that 2 = HCF(16,2) = HCF(66,16) = HCF(148,66) = HCF(510,148) = HCF(658,510) = HCF(2484,658) = HCF(5626,2484) = HCF(8110,5626) .
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 8110, 5626?
Answer: HCF of 8110, 5626 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8110, 5626 using Euclid's Algorithm?
Answer: For arbitrary numbers 8110, 5626 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.