Highest Common Factor of 785, 452, 784, 350 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 785, 452, 784, 350 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 785, 452, 784, 350 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 785, 452, 784, 350 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 785, 452, 784, 350 is 1.
HCF(785, 452, 784, 350) = 1
HCF of 785, 452, 784, 350 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 785, 452, 784, 350 is 1.
Highest Common Factor of 785,452,784,350 is 1
Step 1: Since 785 > 452, we apply the division lemma to 785 and 452, to get
785 = 452 x 1 + 333
Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 333 and 452, to get
452 = 333 x 1 + 119
Step 3: We consider the new divisor 333 and the new remainder 119, and apply the division lemma to get
333 = 119 x 2 + 95
We consider the new divisor 119 and the new remainder 95,and apply the division lemma to get
119 = 95 x 1 + 24
We consider the new divisor 95 and the new remainder 24,and apply the division lemma to get
95 = 24 x 3 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 785 and 452 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(95,24) = HCF(119,95) = HCF(333,119) = HCF(452,333) = HCF(785,452) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 784 > 1, we apply the division lemma to 784 and 1, to get
784 = 1 x 784 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 784 is 1
Notice that 1 = HCF(784,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 350 > 1, we apply the division lemma to 350 and 1, to get
350 = 1 x 350 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 350 is 1
Notice that 1 = HCF(350,1) .
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Frequently Asked Questions on HCF of 785, 452, 784, 350 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 785, 452, 784, 350?
Answer: HCF of 785, 452, 784, 350 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 785, 452, 784, 350 using Euclid's Algorithm?
Answer: For arbitrary numbers 785, 452, 784, 350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.