Highest Common Factor of 992, 727, 968, 18 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, 727, 968, 18 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 727, 968, 18 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, 727, 968, 18 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, 727, 968, 18 is 1.
HCF(992, 727, 968, 18) = 1
HCF of 992, 727, 968, 18 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, 727, 968, 18 is 1.
Highest Common Factor of 992,727,968,18 is 1
Step 1: Since 992 > 727, we apply the division lemma to 992 and 727, to get
992 = 727 x 1 + 265
Step 2: Since the reminder 727 ≠ 0, we apply division lemma to 265 and 727, to get
727 = 265 x 2 + 197
Step 3: We consider the new divisor 265 and the new remainder 197, and apply the division lemma to get
265 = 197 x 1 + 68
We consider the new divisor 197 and the new remainder 68,and apply the division lemma to get
197 = 68 x 2 + 61
We consider the new divisor 68 and the new remainder 61,and apply the division lemma to get
68 = 61 x 1 + 7
We consider the new divisor 61 and the new remainder 7,and apply the division lemma to get
61 = 7 x 8 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 992 and 727 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(61,7) = HCF(68,61) = HCF(197,68) = HCF(265,197) = HCF(727,265) = HCF(992,727) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 968 > 1, we apply the division lemma to 968 and 1, to get
968 = 1 x 968 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 968 is 1
Notice that 1 = HCF(968,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 18 > 1, we apply the division lemma to 18 and 1, to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18 is 1
Notice that 1 = HCF(18,1) .
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Frequently Asked Questions on HCF of 992, 727, 968, 18 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, 727, 968, 18?
Answer: HCF of 992, 727, 968, 18 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 727, 968, 18 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 727, 968, 18 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.