Highest Common Factor of 8822, 7810 using Euclid's algorithm
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 8822, 7810 i.e. 22 the largest integer that leaves a remainder zero for all numbers.
HCF of 8822, 7810 is 22 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 8822, 7810 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 8822, 7810 is 22.
HCF(8822, 7810) = 22
HCF of 8822, 7810 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8822, 7810 is 22.
Highest Common Factor of 8822,7810 is 22
Step 1: Since 8822 > 7810, we apply the division lemma to 8822 and 7810, to get
8822 = 7810 x 1 + 1012
Step 2: Since the reminder 7810 ≠ 0, we apply division lemma to 1012 and 7810, to get
7810 = 1012 x 7 + 726
Step 3: We consider the new divisor 1012 and the new remainder 726, and apply the division lemma to get
1012 = 726 x 1 + 286
We consider the new divisor 726 and the new remainder 286,and apply the division lemma to get
726 = 286 x 2 + 154
We consider the new divisor 286 and the new remainder 154,and apply the division lemma to get
286 = 154 x 1 + 132
We consider the new divisor 154 and the new remainder 132,and apply the division lemma to get
154 = 132 x 1 + 22
We consider the new divisor 132 and the new remainder 22,and apply the division lemma to get
132 = 22 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 8822 and 7810 is 22
Notice that 22 = HCF(132,22) = HCF(154,132) = HCF(286,154) = HCF(726,286) = HCF(1012,726) = HCF(7810,1012) = HCF(8822,7810) .
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Frequently Asked Questions on HCF of 8822, 7810 using Euclid's Algorithm
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 8822, 7810?
Answer: HCF of 8822, 7810 is 22 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8822, 7810 using Euclid's Algorithm?
Answer: For arbitrary numbers 8822, 7810 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.