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 4214, 4661, 48770 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4214, 4661, 48770 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 4214, 4661, 48770 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 4214, 4661, 48770 is 1.
HCF(4214, 4661, 48770) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4214, 4661, 48770 is 1.
Step 1: Since 4661 > 4214, we apply the division lemma to 4661 and 4214, to get
4661 = 4214 x 1 + 447
Step 2: Since the reminder 4214 ≠ 0, we apply division lemma to 447 and 4214, to get
4214 = 447 x 9 + 191
Step 3: We consider the new divisor 447 and the new remainder 191, and apply the division lemma to get
447 = 191 x 2 + 65
We consider the new divisor 191 and the new remainder 65,and apply the division lemma to get
191 = 65 x 2 + 61
We consider the new divisor 65 and the new remainder 61,and apply the division lemma to get
65 = 61 x 1 + 4
We consider the new divisor 61 and the new remainder 4,and apply the division lemma to get
61 = 4 x 15 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4214 and 4661 is 1
Notice that 1 = HCF(4,1) = HCF(61,4) = HCF(65,61) = HCF(191,65) = HCF(447,191) = HCF(4214,447) = HCF(4661,4214) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 48770 > 1, we apply the division lemma to 48770 and 1, to get
48770 = 1 x 48770 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48770 is 1
Notice that 1 = HCF(48770,1) .
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 4214, 4661, 48770?
Answer: HCF of 4214, 4661, 48770 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4214, 4661, 48770 using Euclid's Algorithm?
Answer: For arbitrary numbers 4214, 4661, 48770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.