Highest Common Factor of 330, 446, 62, 952 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 330, 446, 62, 952 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 330, 446, 62, 952 is 2 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 330, 446, 62, 952 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 330, 446, 62, 952 is 2.
HCF(330, 446, 62, 952) = 2
HCF of 330, 446, 62, 952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 330, 446, 62, 952 is 2.
Highest Common Factor of 330,446,62,952 is 2
Step 1: Since 446 > 330, we apply the division lemma to 446 and 330, to get
446 = 330 x 1 + 116
Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 116 and 330, to get
330 = 116 x 2 + 98
Step 3: We consider the new divisor 116 and the new remainder 98, and apply the division lemma to get
116 = 98 x 1 + 18
We consider the new divisor 98 and the new remainder 18,and apply the division lemma to get
98 = 18 x 5 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 330 and 446 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(98,18) = HCF(116,98) = HCF(330,116) = HCF(446,330) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62 > 2, we apply the division lemma to 62 and 2, to get
62 = 2 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 62 is 2
Notice that 2 = HCF(62,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 952 > 2, we apply the division lemma to 952 and 2, to get
952 = 2 x 476 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 952 is 2
Notice that 2 = HCF(952,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 330, 446, 62, 952 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 330, 446, 62, 952?
Answer: HCF of 330, 446, 62, 952 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 330, 446, 62, 952 using Euclid's Algorithm?
Answer: For arbitrary numbers 330, 446, 62, 952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.