Highest Common Factor of 528, 832, 112, 596 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 528, 832, 112, 596 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 528, 832, 112, 596 is 4 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 528, 832, 112, 596 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 528, 832, 112, 596 is 4.
HCF(528, 832, 112, 596) = 4
HCF of 528, 832, 112, 596 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 528, 832, 112, 596 is 4.
Highest Common Factor of 528,832,112,596 is 4
Step 1: Since 832 > 528, we apply the division lemma to 832 and 528, to get
832 = 528 x 1 + 304
Step 2: Since the reminder 528 ≠ 0, we apply division lemma to 304 and 528, to get
528 = 304 x 1 + 224
Step 3: We consider the new divisor 304 and the new remainder 224, and apply the division lemma to get
304 = 224 x 1 + 80
We consider the new divisor 224 and the new remainder 80,and apply the division lemma to get
224 = 80 x 2 + 64
We consider the new divisor 80 and the new remainder 64,and apply the division lemma to get
80 = 64 x 1 + 16
We consider the new divisor 64 and the new remainder 16,and apply the division lemma to get
64 = 16 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 528 and 832 is 16
Notice that 16 = HCF(64,16) = HCF(80,64) = HCF(224,80) = HCF(304,224) = HCF(528,304) = HCF(832,528) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 112 > 16, we apply the division lemma to 112 and 16, to get
112 = 16 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 16 and 112 is 16
Notice that 16 = HCF(112,16) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 596 > 16, we apply the division lemma to 596 and 16, to get
596 = 16 x 37 + 4
Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 4 and 16, to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 16 and 596 is 4
Notice that 4 = HCF(16,4) = HCF(596,16) .
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Frequently Asked Questions on HCF of 528, 832, 112, 596 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 528, 832, 112, 596?
Answer: HCF of 528, 832, 112, 596 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 528, 832, 112, 596 using Euclid's Algorithm?
Answer: For arbitrary numbers 528, 832, 112, 596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.