Highest Common Factor of 8512, 5478 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 8512, 5478 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8512, 5478 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 8512, 5478 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 8512, 5478 is 2.
HCF(8512, 5478) = 2
HCF of 8512, 5478 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8512, 5478 is 2.
Highest Common Factor of 8512,5478 is 2
Step 1: Since 8512 > 5478, we apply the division lemma to 8512 and 5478, to get
8512 = 5478 x 1 + 3034
Step 2: Since the reminder 5478 ≠ 0, we apply division lemma to 3034 and 5478, to get
5478 = 3034 x 1 + 2444
Step 3: We consider the new divisor 3034 and the new remainder 2444, and apply the division lemma to get
3034 = 2444 x 1 + 590
We consider the new divisor 2444 and the new remainder 590,and apply the division lemma to get
2444 = 590 x 4 + 84
We consider the new divisor 590 and the new remainder 84,and apply the division lemma to get
590 = 84 x 7 + 2
We consider the new divisor 84 and the new remainder 2,and apply the division lemma to get
84 = 2 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8512 and 5478 is 2
Notice that 2 = HCF(84,2) = HCF(590,84) = HCF(2444,590) = HCF(3034,2444) = HCF(5478,3034) = HCF(8512,5478) .
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Frequently Asked Questions on HCF of 8512, 5478 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 8512, 5478?
Answer: HCF of 8512, 5478 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8512, 5478 using Euclid's Algorithm?
Answer: For arbitrary numbers 8512, 5478 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
