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 354, 953, 56 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 354, 953, 56 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 354, 953, 56 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 354, 953, 56 is 1.
HCF(354, 953, 56) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 354, 953, 56 is 1.
Step 1: Since 953 > 354, we apply the division lemma to 953 and 354, to get
953 = 354 x 2 + 245
Step 2: Since the reminder 354 ≠ 0, we apply division lemma to 245 and 354, to get
354 = 245 x 1 + 109
Step 3: We consider the new divisor 245 and the new remainder 109, and apply the division lemma to get
245 = 109 x 2 + 27
We consider the new divisor 109 and the new remainder 27,and apply the division lemma to get
109 = 27 x 4 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 354 and 953 is 1
Notice that 1 = HCF(27,1) = HCF(109,27) = HCF(245,109) = HCF(354,245) = HCF(953,354) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56 > 1, we apply the division lemma to 56 and 1, to get
56 = 1 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56 is 1
Notice that 1 = HCF(56,1) .
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 354, 953, 56?
Answer: HCF of 354, 953, 56 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 354, 953, 56 using Euclid's Algorithm?
Answer: For arbitrary numbers 354, 953, 56 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.