Highest Common Factor of 526, 865, 268, 732 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 526, 865, 268, 732 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 526, 865, 268, 732 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 526, 865, 268, 732 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 526, 865, 268, 732 is 1.
HCF(526, 865, 268, 732) = 1
HCF of 526, 865, 268, 732 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 526, 865, 268, 732 is 1.
Highest Common Factor of 526,865,268,732 is 1
Step 1: Since 865 > 526, we apply the division lemma to 865 and 526, to get
865 = 526 x 1 + 339
Step 2: Since the reminder 526 ≠ 0, we apply division lemma to 339 and 526, to get
526 = 339 x 1 + 187
Step 3: We consider the new divisor 339 and the new remainder 187, and apply the division lemma to get
339 = 187 x 1 + 152
We consider the new divisor 187 and the new remainder 152,and apply the division lemma to get
187 = 152 x 1 + 35
We consider the new divisor 152 and the new remainder 35,and apply the division lemma to get
152 = 35 x 4 + 12
We consider the new divisor 35 and the new remainder 12,and apply the division lemma to get
35 = 12 x 2 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 526 and 865 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(35,12) = HCF(152,35) = HCF(187,152) = HCF(339,187) = HCF(526,339) = HCF(865,526) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 268 > 1, we apply the division lemma to 268 and 1, to get
268 = 1 x 268 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 268 is 1
Notice that 1 = HCF(268,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 732 > 1, we apply the division lemma to 732 and 1, to get
732 = 1 x 732 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 732 is 1
Notice that 1 = HCF(732,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 526, 865, 268, 732 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 526, 865, 268, 732?
Answer: HCF of 526, 865, 268, 732 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 526, 865, 268, 732 using Euclid's Algorithm?
Answer: For arbitrary numbers 526, 865, 268, 732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.