Highest Common Factor of 452, 687, 830, 968 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 452, 687, 830, 968 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 452, 687, 830, 968 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 452, 687, 830, 968 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 452, 687, 830, 968 is 1.
HCF(452, 687, 830, 968) = 1
HCF of 452, 687, 830, 968 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 452, 687, 830, 968 is 1.
Highest Common Factor of 452,687,830,968 is 1
Step 1: Since 687 > 452, we apply the division lemma to 687 and 452, to get
687 = 452 x 1 + 235
Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 235 and 452, to get
452 = 235 x 1 + 217
Step 3: We consider the new divisor 235 and the new remainder 217, and apply the division lemma to get
235 = 217 x 1 + 18
We consider the new divisor 217 and the new remainder 18,and apply the division lemma to get
217 = 18 x 12 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 452 and 687 is 1
Notice that 1 = HCF(18,1) = HCF(217,18) = HCF(235,217) = HCF(452,235) = HCF(687,452) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 830 > 1, we apply the division lemma to 830 and 1, to get
830 = 1 x 830 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 830 is 1
Notice that 1 = HCF(830,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 968 > 1, we apply the division lemma to 968 and 1, to get
968 = 1 x 968 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 968 is 1
Notice that 1 = HCF(968,1) .
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Frequently Asked Questions on HCF of 452, 687, 830, 968 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 452, 687, 830, 968?
Answer: HCF of 452, 687, 830, 968 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 452, 687, 830, 968 using Euclid's Algorithm?
Answer: For arbitrary numbers 452, 687, 830, 968 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.