Highest Common Factor of 992, 9994, 9544 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, 9994, 9544 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 9994, 9544 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 992, 9994, 9544 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, 9994, 9544 is 2.
HCF(992, 9994, 9544) = 2
HCF of 992, 9994, 9544 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, 9994, 9544 is 2.
Highest Common Factor of 992,9994,9544 is 2
Step 1: Since 9994 > 992, we apply the division lemma to 9994 and 992, to get
9994 = 992 x 10 + 74
Step 2: Since the reminder 992 ≠ 0, we apply division lemma to 74 and 992, to get
992 = 74 x 13 + 30
Step 3: We consider the new divisor 74 and the new remainder 30, and apply the division lemma to get
74 = 30 x 2 + 14
We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get
30 = 14 x 2 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 992 and 9994 is 2
Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(74,30) = HCF(992,74) = HCF(9994,992) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9544 > 2, we apply the division lemma to 9544 and 2, to get
9544 = 2 x 4772 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 9544 is 2
Notice that 2 = HCF(9544,2) .
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Frequently Asked Questions on HCF of 992, 9994, 9544 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, 9994, 9544?
Answer: HCF of 992, 9994, 9544 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 9994, 9544 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 9994, 9544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.