Highest Common Factor of 700, 3619 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 700, 3619 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 700, 3619 is 7 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 700, 3619 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 700, 3619 is 7.
HCF(700, 3619) = 7
HCF of 700, 3619 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 700, 3619 is 7.
Highest Common Factor of 700,3619 is 7
Step 1: Since 3619 > 700, we apply the division lemma to 3619 and 700, to get
3619 = 700 x 5 + 119
Step 2: Since the reminder 700 ≠ 0, we apply division lemma to 119 and 700, to get
700 = 119 x 5 + 105
Step 3: We consider the new divisor 119 and the new remainder 105, and apply the division lemma to get
119 = 105 x 1 + 14
We consider the new divisor 105 and the new remainder 14,and apply the division lemma to get
105 = 14 x 7 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 700 and 3619 is 7
Notice that 7 = HCF(14,7) = HCF(105,14) = HCF(119,105) = HCF(700,119) = HCF(3619,700) .
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Frequently Asked Questions on HCF of 700, 3619 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 700, 3619?
Answer: HCF of 700, 3619 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 700, 3619 using Euclid's Algorithm?
Answer: For arbitrary numbers 700, 3619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.