Highest Common Factor of 3619, 7927 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 3619, 7927 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3619, 7927 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 3619, 7927 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 3619, 7927 is 1.
HCF(3619, 7927) = 1
HCF of 3619, 7927 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3619, 7927 is 1.
Highest Common Factor of 3619,7927 is 1
Step 1: Since 7927 > 3619, we apply the division lemma to 7927 and 3619, to get
7927 = 3619 x 2 + 689
Step 2: Since the reminder 3619 ≠ 0, we apply division lemma to 689 and 3619, to get
3619 = 689 x 5 + 174
Step 3: We consider the new divisor 689 and the new remainder 174, and apply the division lemma to get
689 = 174 x 3 + 167
We consider the new divisor 174 and the new remainder 167,and apply the division lemma to get
174 = 167 x 1 + 7
We consider the new divisor 167 and the new remainder 7,and apply the division lemma to get
167 = 7 x 23 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3619 and 7927 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(167,7) = HCF(174,167) = HCF(689,174) = HCF(3619,689) = HCF(7927,3619) .
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Frequently Asked Questions on HCF of 3619, 7927 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 3619, 7927?
Answer: HCF of 3619, 7927 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3619, 7927 using Euclid's Algorithm?
Answer: For arbitrary numbers 3619, 7927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.