Highest Common Factor of 924, 210, 787 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 924, 210, 787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 924, 210, 787 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 924, 210, 787 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 924, 210, 787 is 1.
HCF(924, 210, 787) = 1
HCF of 924, 210, 787 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 924, 210, 787 is 1.
Highest Common Factor of 924,210,787 is 1
Step 1: Since 924 > 210, we apply the division lemma to 924 and 210, to get
924 = 210 x 4 + 84
Step 2: Since the reminder 210 ≠ 0, we apply division lemma to 84 and 210, to get
210 = 84 x 2 + 42
Step 3: We consider the new divisor 84 and the new remainder 42, and apply the division lemma to get
84 = 42 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 42, the HCF of 924 and 210 is 42
Notice that 42 = HCF(84,42) = HCF(210,84) = HCF(924,210) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 787 > 42, we apply the division lemma to 787 and 42, to get
787 = 42 x 18 + 31
Step 2: Since the reminder 42 ≠ 0, we apply division lemma to 31 and 42, to get
42 = 31 x 1 + 11
Step 3: We consider the new divisor 31 and the new remainder 11, and apply the division lemma to get
31 = 11 x 2 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 42 and 787 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(31,11) = HCF(42,31) = HCF(787,42) .
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Frequently Asked Questions on HCF of 924, 210, 787 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 924, 210, 787?
Answer: HCF of 924, 210, 787 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 924, 210, 787 using Euclid's Algorithm?
Answer: For arbitrary numbers 924, 210, 787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.