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 346, 865, 547, 865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 346, 865, 547, 865 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 346, 865, 547, 865 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 346, 865, 547, 865 is 1.
HCF(346, 865, 547, 865) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 346, 865, 547, 865 is 1.
Step 1: Since 865 > 346, we apply the division lemma to 865 and 346, to get
865 = 346 x 2 + 173
Step 2: Since the reminder 346 ≠ 0, we apply division lemma to 173 and 346, to get
346 = 173 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 173, the HCF of 346 and 865 is 173
Notice that 173 = HCF(346,173) = HCF(865,346) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 547 > 173, we apply the division lemma to 547 and 173, to get
547 = 173 x 3 + 28
Step 2: Since the reminder 173 ≠ 0, we apply division lemma to 28 and 173, to get
173 = 28 x 6 + 5
Step 3: We consider the new divisor 28 and the new remainder 5, and apply the division lemma to get
28 = 5 x 5 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 173 and 547 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(173,28) = HCF(547,173) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 865 > 1, we apply the division lemma to 865 and 1, to get
865 = 1 x 865 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 865 is 1
Notice that 1 = HCF(865,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 346, 865, 547, 865?
Answer: HCF of 346, 865, 547, 865 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 346, 865, 547, 865 using Euclid's Algorithm?
Answer: For arbitrary numbers 346, 865, 547, 865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.