Highest Common Factor of 992, 897, 32, 547 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 992, 897, 32, 547 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 897, 32, 547 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 992, 897, 32, 547 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 992, 897, 32, 547 is 1.
HCF(992, 897, 32, 547) = 1
HCF of 992, 897, 32, 547 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 992, 897, 32, 547 is 1.
Highest Common Factor of 992,897,32,547 is 1
Step 1: Since 992 > 897, we apply the division lemma to 992 and 897, to get
992 = 897 x 1 + 95
Step 2: Since the reminder 897 ≠ 0, we apply division lemma to 95 and 897, to get
897 = 95 x 9 + 42
Step 3: We consider the new divisor 95 and the new remainder 42, and apply the division lemma to get
95 = 42 x 2 + 11
We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get
42 = 11 x 3 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 992 and 897 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(95,42) = HCF(897,95) = HCF(992,897) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 32 > 1, we apply the division lemma to 32 and 1, to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32 is 1
Notice that 1 = HCF(32,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 547 > 1, we apply the division lemma to 547 and 1, to get
547 = 1 x 547 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 547 is 1
Notice that 1 = HCF(547,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 992, 897, 32, 547 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 992, 897, 32, 547?
Answer: HCF of 992, 897, 32, 547 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 897, 32, 547 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 897, 32, 547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.