Highest Common Factor of 476, 816, 152 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 476, 816, 152 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 476, 816, 152 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 476, 816, 152 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 476, 816, 152 is 4.
HCF(476, 816, 152) = 4
HCF of 476, 816, 152 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 476, 816, 152 is 4.
Highest Common Factor of 476,816,152 is 4
Step 1: Since 816 > 476, we apply the division lemma to 816 and 476, to get
816 = 476 x 1 + 340
Step 2: Since the reminder 476 ≠ 0, we apply division lemma to 340 and 476, to get
476 = 340 x 1 + 136
Step 3: We consider the new divisor 340 and the new remainder 136, and apply the division lemma to get
340 = 136 x 2 + 68
We consider the new divisor 136 and the new remainder 68, and apply the division lemma to get
136 = 68 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 68, the HCF of 476 and 816 is 68
Notice that 68 = HCF(136,68) = HCF(340,136) = HCF(476,340) = HCF(816,476) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 152 > 68, we apply the division lemma to 152 and 68, to get
152 = 68 x 2 + 16
Step 2: Since the reminder 68 ≠ 0, we apply division lemma to 16 and 68, to get
68 = 16 x 4 + 4
Step 3: We consider the new divisor 16 and the new remainder 4, and apply the division lemma 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 68 and 152 is 4
Notice that 4 = HCF(16,4) = HCF(68,16) = HCF(152,68) .
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Frequently Asked Questions on HCF of 476, 816, 152 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 476, 816, 152?
Answer: HCF of 476, 816, 152 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 476, 816, 152 using Euclid's Algorithm?
Answer: For arbitrary numbers 476, 816, 152 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.