Highest Common Factor of 338, 945, 954 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 338, 945, 954 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 338, 945, 954 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 338, 945, 954 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 338, 945, 954 is 1.
HCF(338, 945, 954) = 1
HCF of 338, 945, 954 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 338, 945, 954 is 1.
Highest Common Factor of 338,945,954 is 1
Step 1: Since 945 > 338, we apply the division lemma to 945 and 338, to get
945 = 338 x 2 + 269
Step 2: Since the reminder 338 ≠ 0, we apply division lemma to 269 and 338, to get
338 = 269 x 1 + 69
Step 3: We consider the new divisor 269 and the new remainder 69, and apply the division lemma to get
269 = 69 x 3 + 62
We consider the new divisor 69 and the new remainder 62,and apply the division lemma to get
69 = 62 x 1 + 7
We consider the new divisor 62 and the new remainder 7,and apply the division lemma to get
62 = 7 x 8 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 338 and 945 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(62,7) = HCF(69,62) = HCF(269,69) = HCF(338,269) = HCF(945,338) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 954 > 1, we apply the division lemma to 954 and 1, to get
954 = 1 x 954 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 954 is 1
Notice that 1 = HCF(954,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 338, 945, 954 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 338, 945, 954?
Answer: HCF of 338, 945, 954 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 338, 945, 954 using Euclid's Algorithm?
Answer: For arbitrary numbers 338, 945, 954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.