Highest Common Factor of 692, 544 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 692, 544 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 692, 544 is 4 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 692, 544 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 692, 544 is 4.
HCF(692, 544) = 4
HCF of 692, 544 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 692, 544 is 4.
Highest Common Factor of 692,544 is 4
Step 1: Since 692 > 544, we apply the division lemma to 692 and 544, to get
692 = 544 x 1 + 148
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 148 and 544, to get
544 = 148 x 3 + 100
Step 3: We consider the new divisor 148 and the new remainder 100, and apply the division lemma to get
148 = 100 x 1 + 48
We consider the new divisor 100 and the new remainder 48,and apply the division lemma to get
100 = 48 x 2 + 4
We consider the new divisor 48 and the new remainder 4,and apply the division lemma to get
48 = 4 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 692 and 544 is 4
Notice that 4 = HCF(48,4) = HCF(100,48) = HCF(148,100) = HCF(544,148) = HCF(692,544) .
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Frequently Asked Questions on HCF of 692, 544 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 692, 544?
Answer: HCF of 692, 544 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 692, 544 using Euclid's Algorithm?
Answer: For arbitrary numbers 692, 544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.