Highest Common Factor of 995, 614 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 995, 614 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 995, 614 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 995, 614 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 995, 614 is 1.
HCF(995, 614) = 1
HCF of 995, 614 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 995, 614 is 1.
Highest Common Factor of 995,614 is 1
Step 1: Since 995 > 614, we apply the division lemma to 995 and 614, to get
995 = 614 x 1 + 381
Step 2: Since the reminder 614 ≠ 0, we apply division lemma to 381 and 614, to get
614 = 381 x 1 + 233
Step 3: We consider the new divisor 381 and the new remainder 233, and apply the division lemma to get
381 = 233 x 1 + 148
We consider the new divisor 233 and the new remainder 148,and apply the division lemma to get
233 = 148 x 1 + 85
We consider the new divisor 148 and the new remainder 85,and apply the division lemma to get
148 = 85 x 1 + 63
We consider the new divisor 85 and the new remainder 63,and apply the division lemma to get
85 = 63 x 1 + 22
We consider the new divisor 63 and the new remainder 22,and apply the division lemma to get
63 = 22 x 2 + 19
We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get
22 = 19 x 1 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 995 and 614 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(63,22) = HCF(85,63) = HCF(148,85) = HCF(233,148) = HCF(381,233) = HCF(614,381) = HCF(995,614) .
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Frequently Asked Questions on HCF of 995, 614 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 995, 614?
Answer: HCF of 995, 614 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 995, 614 using Euclid's Algorithm?
Answer: For arbitrary numbers 995, 614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.