Highest Common Factor of 534, 688 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 534, 688 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 534, 688 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 534, 688 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 534, 688 is 2.
HCF(534, 688) = 2
HCF of 534, 688 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 534, 688 is 2.
Highest Common Factor of 534,688 is 2
Step 1: Since 688 > 534, we apply the division lemma to 688 and 534, to get
688 = 534 x 1 + 154
Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 154 and 534, to get
534 = 154 x 3 + 72
Step 3: We consider the new divisor 154 and the new remainder 72, and apply the division lemma to get
154 = 72 x 2 + 10
We consider the new divisor 72 and the new remainder 10,and apply the division lemma to get
72 = 10 x 7 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 534 and 688 is 2
Notice that 2 = HCF(10,2) = HCF(72,10) = HCF(154,72) = HCF(534,154) = HCF(688,534) .
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Frequently Asked Questions on HCF of 534, 688 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 534, 688?
Answer: HCF of 534, 688 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 534, 688 using Euclid's Algorithm?
Answer: For arbitrary numbers 534, 688 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.