Highest Common Factor of 784, 800, 908 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 784, 800, 908 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 784, 800, 908 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 784, 800, 908 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 784, 800, 908 is 4.
HCF(784, 800, 908) = 4
HCF of 784, 800, 908 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 784, 800, 908 is 4.
Highest Common Factor of 784,800,908 is 4
Step 1: Since 800 > 784, we apply the division lemma to 800 and 784, to get
800 = 784 x 1 + 16
Step 2: Since the reminder 784 ≠ 0, we apply division lemma to 16 and 784, to get
784 = 16 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 784 and 800 is 16
Notice that 16 = HCF(784,16) = HCF(800,784) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 908 > 16, we apply the division lemma to 908 and 16, to get
908 = 16 x 56 + 12
Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 12 and 16, to get
16 = 12 x 1 + 4
Step 3: We consider the new divisor 12 and the new remainder 4, and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 16 and 908 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(908,16) .
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Frequently Asked Questions on HCF of 784, 800, 908 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 784, 800, 908?
Answer: HCF of 784, 800, 908 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 784, 800, 908 using Euclid's Algorithm?
Answer: For arbitrary numbers 784, 800, 908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
