Highest Common Factor of 8022, 8456 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 8022, 8456 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 8022, 8456 is 14 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 8022, 8456 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 8022, 8456 is 14.
HCF(8022, 8456) = 14
HCF of 8022, 8456 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8022, 8456 is 14.
Highest Common Factor of 8022,8456 is 14
Step 1: Since 8456 > 8022, we apply the division lemma to 8456 and 8022, to get
8456 = 8022 x 1 + 434
Step 2: Since the reminder 8022 ≠ 0, we apply division lemma to 434 and 8022, to get
8022 = 434 x 18 + 210
Step 3: We consider the new divisor 434 and the new remainder 210, and apply the division lemma to get
434 = 210 x 2 + 14
We consider the new divisor 210 and the new remainder 14, and apply the division lemma to get
210 = 14 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 8022 and 8456 is 14
Notice that 14 = HCF(210,14) = HCF(434,210) = HCF(8022,434) = HCF(8456,8022) .
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Frequently Asked Questions on HCF of 8022, 8456 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 8022, 8456?
Answer: HCF of 8022, 8456 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8022, 8456 using Euclid's Algorithm?
Answer: For arbitrary numbers 8022, 8456 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.