Highest Common Factor of 695, 965, 125 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 695, 965, 125 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 695, 965, 125 is 5 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 695, 965, 125 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 695, 965, 125 is 5.
HCF(695, 965, 125) = 5
HCF of 695, 965, 125 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 695, 965, 125 is 5.
Highest Common Factor of 695,965,125 is 5
Step 1: Since 965 > 695, we apply the division lemma to 965 and 695, to get
965 = 695 x 1 + 270
Step 2: Since the reminder 695 ≠ 0, we apply division lemma to 270 and 695, to get
695 = 270 x 2 + 155
Step 3: We consider the new divisor 270 and the new remainder 155, and apply the division lemma to get
270 = 155 x 1 + 115
We consider the new divisor 155 and the new remainder 115,and apply the division lemma to get
155 = 115 x 1 + 40
We consider the new divisor 115 and the new remainder 40,and apply the division lemma to get
115 = 40 x 2 + 35
We consider the new divisor 40 and the new remainder 35,and apply the division lemma to get
40 = 35 x 1 + 5
We consider the new divisor 35 and the new remainder 5,and apply the division lemma to get
35 = 5 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 695 and 965 is 5
Notice that 5 = HCF(35,5) = HCF(40,35) = HCF(115,40) = HCF(155,115) = HCF(270,155) = HCF(695,270) = HCF(965,695) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 125 > 5, we apply the division lemma to 125 and 5, to get
125 = 5 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 125 is 5
Notice that 5 = HCF(125,5) .
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Frequently Asked Questions on HCF of 695, 965, 125 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 695, 965, 125?
Answer: HCF of 695, 965, 125 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 695, 965, 125 using Euclid's Algorithm?
Answer: For arbitrary numbers 695, 965, 125 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
