Highest Common Factor of 982, 14394 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 982, 14394 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 982, 14394 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 982, 14394 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 982, 14394 is 2.
HCF(982, 14394) = 2
HCF of 982, 14394 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 982, 14394 is 2.
Highest Common Factor of 982,14394 is 2
Step 1: Since 14394 > 982, we apply the division lemma to 14394 and 982, to get
14394 = 982 x 14 + 646
Step 2: Since the reminder 982 ≠ 0, we apply division lemma to 646 and 982, to get
982 = 646 x 1 + 336
Step 3: We consider the new divisor 646 and the new remainder 336, and apply the division lemma to get
646 = 336 x 1 + 310
We consider the new divisor 336 and the new remainder 310,and apply the division lemma to get
336 = 310 x 1 + 26
We consider the new divisor 310 and the new remainder 26,and apply the division lemma to get
310 = 26 x 11 + 24
We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get
26 = 24 x 1 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 982 and 14394 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(310,26) = HCF(336,310) = HCF(646,336) = HCF(982,646) = HCF(14394,982) .
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Frequently Asked Questions on HCF of 982, 14394 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 982, 14394?
Answer: HCF of 982, 14394 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 982, 14394 using Euclid's Algorithm?
Answer: For arbitrary numbers 982, 14394 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.