Highest Common Factor of 785, 4511, 6895 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, 4511, 6895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 785, 4511, 6895 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, 4511, 6895 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, 4511, 6895 is 1.
HCF(785, 4511, 6895) = 1
HCF of 785, 4511, 6895 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, 4511, 6895 is 1.
Highest Common Factor of 785,4511,6895 is 1
Step 1: Since 4511 > 785, we apply the division lemma to 4511 and 785, to get
4511 = 785 x 5 + 586
Step 2: Since the reminder 785 ≠ 0, we apply division lemma to 586 and 785, to get
785 = 586 x 1 + 199
Step 3: We consider the new divisor 586 and the new remainder 199, and apply the division lemma to get
586 = 199 x 2 + 188
We consider the new divisor 199 and the new remainder 188,and apply the division lemma to get
199 = 188 x 1 + 11
We consider the new divisor 188 and the new remainder 11,and apply the division lemma to get
188 = 11 x 17 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 785 and 4511 is 1
Notice that 1 = HCF(11,1) = HCF(188,11) = HCF(199,188) = HCF(586,199) = HCF(785,586) = HCF(4511,785) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6895 > 1, we apply the division lemma to 6895 and 1, to get
6895 = 1 x 6895 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6895 is 1
Notice that 1 = HCF(6895,1) .
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Frequently Asked Questions on HCF of 785, 4511, 6895 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, 4511, 6895?
Answer: HCF of 785, 4511, 6895 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 785, 4511, 6895 using Euclid's Algorithm?
Answer: For arbitrary numbers 785, 4511, 6895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.