Highest Common Factor of 962, 267, 878, 119 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 962, 267, 878, 119 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 962, 267, 878, 119 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 962, 267, 878, 119 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 962, 267, 878, 119 is 1.
HCF(962, 267, 878, 119) = 1
HCF of 962, 267, 878, 119 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 962, 267, 878, 119 is 1.
Highest Common Factor of 962,267,878,119 is 1
Step 1: Since 962 > 267, we apply the division lemma to 962 and 267, to get
962 = 267 x 3 + 161
Step 2: Since the reminder 267 ≠ 0, we apply division lemma to 161 and 267, to get
267 = 161 x 1 + 106
Step 3: We consider the new divisor 161 and the new remainder 106, and apply the division lemma to get
161 = 106 x 1 + 55
We consider the new divisor 106 and the new remainder 55,and apply the division lemma to get
106 = 55 x 1 + 51
We consider the new divisor 55 and the new remainder 51,and apply the division lemma to get
55 = 51 x 1 + 4
We consider the new divisor 51 and the new remainder 4,and apply the division lemma to get
51 = 4 x 12 + 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 962 and 267 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(51,4) = HCF(55,51) = HCF(106,55) = HCF(161,106) = HCF(267,161) = HCF(962,267) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 878 > 1, we apply the division lemma to 878 and 1, to get
878 = 1 x 878 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 878 is 1
Notice that 1 = HCF(878,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 119 > 1, we apply the division lemma to 119 and 1, to get
119 = 1 x 119 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 119 is 1
Notice that 1 = HCF(119,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 962, 267, 878, 119 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 962, 267, 878, 119?
Answer: HCF of 962, 267, 878, 119 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 962, 267, 878, 119 using Euclid's Algorithm?
Answer: For arbitrary numbers 962, 267, 878, 119 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.