Highest Common Factor of 992, 378, 529, 473 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 992, 378, 529, 473 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 378, 529, 473 is 1 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 992, 378, 529, 473 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 992, 378, 529, 473 is 1.
HCF(992, 378, 529, 473) = 1
HCF of 992, 378, 529, 473 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 992, 378, 529, 473 is 1.
Highest Common Factor of 992,378,529,473 is 1
Step 1: Since 992 > 378, we apply the division lemma to 992 and 378, to get
992 = 378 x 2 + 236
Step 2: Since the reminder 378 ≠ 0, we apply division lemma to 236 and 378, to get
378 = 236 x 1 + 142
Step 3: We consider the new divisor 236 and the new remainder 142, and apply the division lemma to get
236 = 142 x 1 + 94
We consider the new divisor 142 and the new remainder 94,and apply the division lemma to get
142 = 94 x 1 + 48
We consider the new divisor 94 and the new remainder 48,and apply the division lemma to get
94 = 48 x 1 + 46
We consider the new divisor 48 and the new remainder 46,and apply the division lemma to get
48 = 46 x 1 + 2
We consider the new divisor 46 and the new remainder 2,and apply the division lemma to get
46 = 2 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 992 and 378 is 2
Notice that 2 = HCF(46,2) = HCF(48,46) = HCF(94,48) = HCF(142,94) = HCF(236,142) = HCF(378,236) = HCF(992,378) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 529 > 2, we apply the division lemma to 529 and 2, to get
529 = 2 x 264 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 529 is 1
Notice that 1 = HCF(2,1) = HCF(529,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 473 > 1, we apply the division lemma to 473 and 1, to get
473 = 1 x 473 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 473 is 1
Notice that 1 = HCF(473,1) .
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Frequently Asked Questions on HCF of 992, 378, 529, 473 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 992, 378, 529, 473?
Answer: HCF of 992, 378, 529, 473 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 378, 529, 473 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 378, 529, 473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.