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 953, 419, 463, 174 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 953, 419, 463, 174 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 953, 419, 463, 174 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 953, 419, 463, 174 is 1.
HCF(953, 419, 463, 174) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 953, 419, 463, 174 is 1.
Step 1: Since 953 > 419, we apply the division lemma to 953 and 419, to get
953 = 419 x 2 + 115
Step 2: Since the reminder 419 ≠ 0, we apply division lemma to 115 and 419, to get
419 = 115 x 3 + 74
Step 3: We consider the new divisor 115 and the new remainder 74, and apply the division lemma to get
115 = 74 x 1 + 41
We consider the new divisor 74 and the new remainder 41,and apply the division lemma to get
74 = 41 x 1 + 33
We consider the new divisor 41 and the new remainder 33,and apply the division lemma to get
41 = 33 x 1 + 8
We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get
33 = 8 x 4 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 953 and 419 is 1
Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(41,33) = HCF(74,41) = HCF(115,74) = HCF(419,115) = HCF(953,419) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 463 > 1, we apply the division lemma to 463 and 1, to get
463 = 1 x 463 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 463 is 1
Notice that 1 = HCF(463,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 174 > 1, we apply the division lemma to 174 and 1, to get
174 = 1 x 174 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 174 is 1
Notice that 1 = HCF(174,1) .
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 953, 419, 463, 174?
Answer: HCF of 953, 419, 463, 174 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 953, 419, 463, 174 using Euclid's Algorithm?
Answer: For arbitrary numbers 953, 419, 463, 174 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.