Highest Common Factor of 784, 841, 720, 427 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, 841, 720, 427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 784, 841, 720, 427 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 784, 841, 720, 427 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, 841, 720, 427 is 1.
HCF(784, 841, 720, 427) = 1
HCF of 784, 841, 720, 427 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, 841, 720, 427 is 1.
Highest Common Factor of 784,841,720,427 is 1
Step 1: Since 841 > 784, we apply the division lemma to 841 and 784, to get
841 = 784 x 1 + 57
Step 2: Since the reminder 784 ≠ 0, we apply division lemma to 57 and 784, to get
784 = 57 x 13 + 43
Step 3: We consider the new divisor 57 and the new remainder 43, and apply the division lemma to get
57 = 43 x 1 + 14
We consider the new divisor 43 and the new remainder 14,and apply the division lemma to get
43 = 14 x 3 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 784 and 841 is 1
Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(57,43) = HCF(784,57) = HCF(841,784) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 720 > 1, we apply the division lemma to 720 and 1, to get
720 = 1 x 720 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 720 is 1
Notice that 1 = HCF(720,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 427 > 1, we apply the division lemma to 427 and 1, to get
427 = 1 x 427 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 427 is 1
Notice that 1 = HCF(427,1) .
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Frequently Asked Questions on HCF of 784, 841, 720, 427 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, 841, 720, 427?
Answer: HCF of 784, 841, 720, 427 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 784, 841, 720, 427 using Euclid's Algorithm?
Answer: For arbitrary numbers 784, 841, 720, 427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
