Highest Common Factor of 535, 312, 141 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 535, 312, 141 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 535, 312, 141 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 535, 312, 141 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 535, 312, 141 is 1.
HCF(535, 312, 141) = 1
HCF of 535, 312, 141 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 535, 312, 141 is 1.
Highest Common Factor of 535,312,141 is 1
Step 1: Since 535 > 312, we apply the division lemma to 535 and 312, to get
535 = 312 x 1 + 223
Step 2: Since the reminder 312 ≠ 0, we apply division lemma to 223 and 312, to get
312 = 223 x 1 + 89
Step 3: We consider the new divisor 223 and the new remainder 89, and apply the division lemma to get
223 = 89 x 2 + 45
We consider the new divisor 89 and the new remainder 45,and apply the division lemma to get
89 = 45 x 1 + 44
We consider the new divisor 45 and the new remainder 44,and apply the division lemma to get
45 = 44 x 1 + 1
We consider the new divisor 44 and the new remainder 1,and apply the division lemma to get
44 = 1 x 44 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 535 and 312 is 1
Notice that 1 = HCF(44,1) = HCF(45,44) = HCF(89,45) = HCF(223,89) = HCF(312,223) = HCF(535,312) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 141 > 1, we apply the division lemma to 141 and 1, to get
141 = 1 x 141 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 141 is 1
Notice that 1 = HCF(141,1) .
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Frequently Asked Questions on HCF of 535, 312, 141 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 535, 312, 141?
Answer: HCF of 535, 312, 141 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 535, 312, 141 using Euclid's Algorithm?
Answer: For arbitrary numbers 535, 312, 141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.