Highest Common Factor of 535, 958, 798 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, 958, 798 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 535, 958, 798 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, 958, 798 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, 958, 798 is 1.
HCF(535, 958, 798) = 1
HCF of 535, 958, 798 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, 958, 798 is 1.
Highest Common Factor of 535,958,798 is 1
Step 1: Since 958 > 535, we apply the division lemma to 958 and 535, to get
958 = 535 x 1 + 423
Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 423 and 535, to get
535 = 423 x 1 + 112
Step 3: We consider the new divisor 423 and the new remainder 112, and apply the division lemma to get
423 = 112 x 3 + 87
We consider the new divisor 112 and the new remainder 87,and apply the division lemma to get
112 = 87 x 1 + 25
We consider the new divisor 87 and the new remainder 25,and apply the division lemma to get
87 = 25 x 3 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 535 and 958 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(87,25) = HCF(112,87) = HCF(423,112) = HCF(535,423) = HCF(958,535) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 798 > 1, we apply the division lemma to 798 and 1, to get
798 = 1 x 798 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 798 is 1
Notice that 1 = HCF(798,1) .
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Frequently Asked Questions on HCF of 535, 958, 798 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, 958, 798?
Answer: HCF of 535, 958, 798 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 535, 958, 798 using Euclid's Algorithm?
Answer: For arbitrary numbers 535, 958, 798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.