Highest Common Factor of 613, 994 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 613, 994 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 613, 994 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 613, 994 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 613, 994 is 1.
HCF(613, 994) = 1
HCF of 613, 994 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 613, 994 is 1.
Highest Common Factor of 613,994 is 1
Step 1: Since 994 > 613, we apply the division lemma to 994 and 613, to get
994 = 613 x 1 + 381
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 381 and 613, to get
613 = 381 x 1 + 232
Step 3: We consider the new divisor 381 and the new remainder 232, and apply the division lemma to get
381 = 232 x 1 + 149
We consider the new divisor 232 and the new remainder 149,and apply the division lemma to get
232 = 149 x 1 + 83
We consider the new divisor 149 and the new remainder 83,and apply the division lemma to get
149 = 83 x 1 + 66
We consider the new divisor 83 and the new remainder 66,and apply the division lemma to get
83 = 66 x 1 + 17
We consider the new divisor 66 and the new remainder 17,and apply the division lemma to get
66 = 17 x 3 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 613 and 994 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(66,17) = HCF(83,66) = HCF(149,83) = HCF(232,149) = HCF(381,232) = HCF(613,381) = HCF(994,613) .
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Frequently Asked Questions on HCF of 613, 994 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 613, 994?
Answer: HCF of 613, 994 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 613, 994 using Euclid's Algorithm?
Answer: For arbitrary numbers 613, 994 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.