Highest Common Factor of 680, 534 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 680, 534 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 680, 534 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 680, 534 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 680, 534 is 2.
HCF(680, 534) = 2
HCF of 680, 534 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 680, 534 is 2.
Highest Common Factor of 680,534 is 2
Step 1: Since 680 > 534, we apply the division lemma to 680 and 534, to get
680 = 534 x 1 + 146
Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 146 and 534, to get
534 = 146 x 3 + 96
Step 3: We consider the new divisor 146 and the new remainder 96, and apply the division lemma to get
146 = 96 x 1 + 50
We consider the new divisor 96 and the new remainder 50,and apply the division lemma to get
96 = 50 x 1 + 46
We consider the new divisor 50 and the new remainder 46,and apply the division lemma to get
50 = 46 x 1 + 4
We consider the new divisor 46 and the new remainder 4,and apply the division lemma to get
46 = 4 x 11 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 680 and 534 is 2
Notice that 2 = HCF(4,2) = HCF(46,4) = HCF(50,46) = HCF(96,50) = HCF(146,96) = HCF(534,146) = HCF(680,534) .
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Frequently Asked Questions on HCF of 680, 534 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 680, 534?
Answer: HCF of 680, 534 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 680, 534 using Euclid's Algorithm?
Answer: For arbitrary numbers 680, 534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
