Highest Common Factor of 695, 742, 325, 53 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, 742, 325, 53 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 695, 742, 325, 53 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 695, 742, 325, 53 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, 742, 325, 53 is 1.
HCF(695, 742, 325, 53) = 1
HCF of 695, 742, 325, 53 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, 742, 325, 53 is 1.
Highest Common Factor of 695,742,325,53 is 1
Step 1: Since 742 > 695, we apply the division lemma to 742 and 695, to get
742 = 695 x 1 + 47
Step 2: Since the reminder 695 ≠ 0, we apply division lemma to 47 and 695, to get
695 = 47 x 14 + 37
Step 3: We consider the new divisor 47 and the new remainder 37, and apply the division lemma to get
47 = 37 x 1 + 10
We consider the new divisor 37 and the new remainder 10,and apply the division lemma to get
37 = 10 x 3 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 695 and 742 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(37,10) = HCF(47,37) = HCF(695,47) = HCF(742,695) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 325 > 1, we apply the division lemma to 325 and 1, to get
325 = 1 x 325 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 325 is 1
Notice that 1 = HCF(325,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53 > 1, we apply the division lemma to 53 and 1, to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53 is 1
Notice that 1 = HCF(53,1) .
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Frequently Asked Questions on HCF of 695, 742, 325, 53 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, 742, 325, 53?
Answer: HCF of 695, 742, 325, 53 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 695, 742, 325, 53 using Euclid's Algorithm?
Answer: For arbitrary numbers 695, 742, 325, 53 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.