Highest Common Factor of 7718, 1993 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 7718, 1993 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7718, 1993 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 7718, 1993 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 7718, 1993 is 1.
HCF(7718, 1993) = 1
HCF of 7718, 1993 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7718, 1993 is 1.
Highest Common Factor of 7718,1993 is 1
Step 1: Since 7718 > 1993, we apply the division lemma to 7718 and 1993, to get
7718 = 1993 x 3 + 1739
Step 2: Since the reminder 1993 ≠ 0, we apply division lemma to 1739 and 1993, to get
1993 = 1739 x 1 + 254
Step 3: We consider the new divisor 1739 and the new remainder 254, and apply the division lemma to get
1739 = 254 x 6 + 215
We consider the new divisor 254 and the new remainder 215,and apply the division lemma to get
254 = 215 x 1 + 39
We consider the new divisor 215 and the new remainder 39,and apply the division lemma to get
215 = 39 x 5 + 20
We consider the new divisor 39 and the new remainder 20,and apply the division lemma to get
39 = 20 x 1 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7718 and 1993 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(39,20) = HCF(215,39) = HCF(254,215) = HCF(1739,254) = HCF(1993,1739) = HCF(7718,1993) .
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Frequently Asked Questions on HCF of 7718, 1993 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 7718, 1993?
Answer: HCF of 7718, 1993 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7718, 1993 using Euclid's Algorithm?
Answer: For arbitrary numbers 7718, 1993 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.