Highest Common Factor of 4947, 3668, 60752 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 4947, 3668, 60752 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4947, 3668, 60752 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 4947, 3668, 60752 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 4947, 3668, 60752 is 1.
HCF(4947, 3668, 60752) = 1
HCF of 4947, 3668, 60752 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4947, 3668, 60752 is 1.
Highest Common Factor of 4947,3668,60752 is 1
Step 1: Since 4947 > 3668, we apply the division lemma to 4947 and 3668, to get
4947 = 3668 x 1 + 1279
Step 2: Since the reminder 3668 ≠ 0, we apply division lemma to 1279 and 3668, to get
3668 = 1279 x 2 + 1110
Step 3: We consider the new divisor 1279 and the new remainder 1110, and apply the division lemma to get
1279 = 1110 x 1 + 169
We consider the new divisor 1110 and the new remainder 169,and apply the division lemma to get
1110 = 169 x 6 + 96
We consider the new divisor 169 and the new remainder 96,and apply the division lemma to get
169 = 96 x 1 + 73
We consider the new divisor 96 and the new remainder 73,and apply the division lemma to get
96 = 73 x 1 + 23
We consider the new divisor 73 and the new remainder 23,and apply the division lemma to get
73 = 23 x 3 + 4
We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get
23 = 4 x 5 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4947 and 3668 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(73,23) = HCF(96,73) = HCF(169,96) = HCF(1110,169) = HCF(1279,1110) = HCF(3668,1279) = HCF(4947,3668) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60752 > 1, we apply the division lemma to 60752 and 1, to get
60752 = 1 x 60752 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60752 is 1
Notice that 1 = HCF(60752,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4947, 3668, 60752 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 4947, 3668, 60752?
Answer: HCF of 4947, 3668, 60752 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4947, 3668, 60752 using Euclid's Algorithm?
Answer: For arbitrary numbers 4947, 3668, 60752 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
