Highest Common Factor of 525, 858, 139, 733 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 525, 858, 139, 733 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 525, 858, 139, 733 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 525, 858, 139, 733 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 525, 858, 139, 733 is 1.
HCF(525, 858, 139, 733) = 1
HCF of 525, 858, 139, 733 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 525, 858, 139, 733 is 1.
Highest Common Factor of 525,858,139,733 is 1
Step 1: Since 858 > 525, we apply the division lemma to 858 and 525, to get
858 = 525 x 1 + 333
Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 333 and 525, to get
525 = 333 x 1 + 192
Step 3: We consider the new divisor 333 and the new remainder 192, and apply the division lemma to get
333 = 192 x 1 + 141
We consider the new divisor 192 and the new remainder 141,and apply the division lemma to get
192 = 141 x 1 + 51
We consider the new divisor 141 and the new remainder 51,and apply the division lemma to get
141 = 51 x 2 + 39
We consider the new divisor 51 and the new remainder 39,and apply the division lemma to get
51 = 39 x 1 + 12
We consider the new divisor 39 and the new remainder 12,and apply the division lemma to get
39 = 12 x 3 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 525 and 858 is 3
Notice that 3 = HCF(12,3) = HCF(39,12) = HCF(51,39) = HCF(141,51) = HCF(192,141) = HCF(333,192) = HCF(525,333) = HCF(858,525) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 139 > 3, we apply the division lemma to 139 and 3, to get
139 = 3 x 46 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 139 is 1
Notice that 1 = HCF(3,1) = HCF(139,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 733 > 1, we apply the division lemma to 733 and 1, to get
733 = 1 x 733 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 733 is 1
Notice that 1 = HCF(733,1) .
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Frequently Asked Questions on HCF of 525, 858, 139, 733 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 525, 858, 139, 733?
Answer: HCF of 525, 858, 139, 733 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 525, 858, 139, 733 using Euclid's Algorithm?
Answer: For arbitrary numbers 525, 858, 139, 733 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.