Highest Common Factor of 616, 695, 607, 18 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 616, 695, 607, 18 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 616, 695, 607, 18 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 616, 695, 607, 18 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 616, 695, 607, 18 is 1.
HCF(616, 695, 607, 18) = 1
HCF of 616, 695, 607, 18 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 616, 695, 607, 18 is 1.
Highest Common Factor of 616,695,607,18 is 1
Step 1: Since 695 > 616, we apply the division lemma to 695 and 616, to get
695 = 616 x 1 + 79
Step 2: Since the reminder 616 ≠ 0, we apply division lemma to 79 and 616, to get
616 = 79 x 7 + 63
Step 3: We consider the new divisor 79 and the new remainder 63, and apply the division lemma to get
79 = 63 x 1 + 16
We consider the new divisor 63 and the new remainder 16,and apply the division lemma to get
63 = 16 x 3 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 616 and 695 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(63,16) = HCF(79,63) = HCF(616,79) = HCF(695,616) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 607 > 1, we apply the division lemma to 607 and 1, to get
607 = 1 x 607 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 607 is 1
Notice that 1 = HCF(607,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 18 > 1, we apply the division lemma to 18 and 1, to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18 is 1
Notice that 1 = HCF(18,1) .
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Frequently Asked Questions on HCF of 616, 695, 607, 18 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 616, 695, 607, 18?
Answer: HCF of 616, 695, 607, 18 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 616, 695, 607, 18 using Euclid's Algorithm?
Answer: For arbitrary numbers 616, 695, 607, 18 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.