Highest Common Factor of 244, 9994 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 244, 9994 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 244, 9994 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 244, 9994 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 244, 9994 is 2.
HCF(244, 9994) = 2
HCF of 244, 9994 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 244, 9994 is 2.
Highest Common Factor of 244,9994 is 2
Step 1: Since 9994 > 244, we apply the division lemma to 9994 and 244, to get
9994 = 244 x 40 + 234
Step 2: Since the reminder 244 ≠ 0, we apply division lemma to 234 and 244, to get
244 = 234 x 1 + 10
Step 3: We consider the new divisor 234 and the new remainder 10, and apply the division lemma to get
234 = 10 x 23 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 244 and 9994 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(234,10) = HCF(244,234) = HCF(9994,244) .
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Frequently Asked Questions on HCF of 244, 9994 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 244, 9994?
Answer: HCF of 244, 9994 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 244, 9994 using Euclid's Algorithm?
Answer: For arbitrary numbers 244, 9994 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.