Highest Common Factor of 8528, 5434 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 8528, 5434 i.e. 26 the largest integer that leaves a remainder zero for all numbers.
HCF of 8528, 5434 is 26 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 8528, 5434 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 8528, 5434 is 26.
HCF(8528, 5434) = 26
HCF of 8528, 5434 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8528, 5434 is 26.
Highest Common Factor of 8528,5434 is 26
Step 1: Since 8528 > 5434, we apply the division lemma to 8528 and 5434, to get
8528 = 5434 x 1 + 3094
Step 2: Since the reminder 5434 ≠ 0, we apply division lemma to 3094 and 5434, to get
5434 = 3094 x 1 + 2340
Step 3: We consider the new divisor 3094 and the new remainder 2340, and apply the division lemma to get
3094 = 2340 x 1 + 754
We consider the new divisor 2340 and the new remainder 754,and apply the division lemma to get
2340 = 754 x 3 + 78
We consider the new divisor 754 and the new remainder 78,and apply the division lemma to get
754 = 78 x 9 + 52
We consider the new divisor 78 and the new remainder 52,and apply the division lemma to get
78 = 52 x 1 + 26
We consider the new divisor 52 and the new remainder 26,and apply the division lemma to get
52 = 26 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 8528 and 5434 is 26
Notice that 26 = HCF(52,26) = HCF(78,52) = HCF(754,78) = HCF(2340,754) = HCF(3094,2340) = HCF(5434,3094) = HCF(8528,5434) .
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Frequently Asked Questions on HCF of 8528, 5434 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 8528, 5434?
Answer: HCF of 8528, 5434 is 26 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8528, 5434 using Euclid's Algorithm?
Answer: For arbitrary numbers 8528, 5434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.