Highest Common Factor of 8042, 5224 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 8042, 5224 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8042, 5224 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 8042, 5224 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 8042, 5224 is 2.
HCF(8042, 5224) = 2
HCF of 8042, 5224 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8042, 5224 is 2.
Highest Common Factor of 8042,5224 is 2
Step 1: Since 8042 > 5224, we apply the division lemma to 8042 and 5224, to get
8042 = 5224 x 1 + 2818
Step 2: Since the reminder 5224 ≠ 0, we apply division lemma to 2818 and 5224, to get
5224 = 2818 x 1 + 2406
Step 3: We consider the new divisor 2818 and the new remainder 2406, and apply the division lemma to get
2818 = 2406 x 1 + 412
We consider the new divisor 2406 and the new remainder 412,and apply the division lemma to get
2406 = 412 x 5 + 346
We consider the new divisor 412 and the new remainder 346,and apply the division lemma to get
412 = 346 x 1 + 66
We consider the new divisor 346 and the new remainder 66,and apply the division lemma to get
346 = 66 x 5 + 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 8042 and 5224 is 2
Notice that 2 = HCF(16,2) = HCF(66,16) = HCF(346,66) = HCF(412,346) = HCF(2406,412) = HCF(2818,2406) = HCF(5224,2818) = HCF(8042,5224) .
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Frequently Asked Questions on HCF of 8042, 5224 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 8042, 5224?
Answer: HCF of 8042, 5224 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8042, 5224 using Euclid's Algorithm?
Answer: For arbitrary numbers 8042, 5224 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.