Highest Common Factor of 955, 535, 695, 541 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 955, 535, 695, 541 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 955, 535, 695, 541 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 955, 535, 695, 541 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 955, 535, 695, 541 is 1.
HCF(955, 535, 695, 541) = 1
HCF of 955, 535, 695, 541 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 955, 535, 695, 541 is 1.
Highest Common Factor of 955,535,695,541 is 1
Step 1: Since 955 > 535, we apply the division lemma to 955 and 535, to get
955 = 535 x 1 + 420
Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 420 and 535, to get
535 = 420 x 1 + 115
Step 3: We consider the new divisor 420 and the new remainder 115, and apply the division lemma to get
420 = 115 x 3 + 75
We consider the new divisor 115 and the new remainder 75,and apply the division lemma to get
115 = 75 x 1 + 40
We consider the new divisor 75 and the new remainder 40,and apply the division lemma to get
75 = 40 x 1 + 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 955 and 535 is 5
Notice that 5 = HCF(35,5) = HCF(40,35) = HCF(75,40) = HCF(115,75) = HCF(420,115) = HCF(535,420) = HCF(955,535) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 695 > 5, we apply the division lemma to 695 and 5, to get
695 = 5 x 139 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 695 is 5
Notice that 5 = HCF(695,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 541 > 5, we apply the division lemma to 541 and 5, to get
541 = 5 x 108 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 541 is 1
Notice that 1 = HCF(5,1) = HCF(541,5) .
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Frequently Asked Questions on HCF of 955, 535, 695, 541 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 955, 535, 695, 541?
Answer: HCF of 955, 535, 695, 541 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 955, 535, 695, 541 using Euclid's Algorithm?
Answer: For arbitrary numbers 955, 535, 695, 541 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.