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 904, 703, 61, 649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 904, 703, 61, 649 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 904, 703, 61, 649 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 904, 703, 61, 649 is 1.
HCF(904, 703, 61, 649) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 904, 703, 61, 649 is 1.
Step 1: Since 904 > 703, we apply the division lemma to 904 and 703, to get
904 = 703 x 1 + 201
Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 201 and 703, to get
703 = 201 x 3 + 100
Step 3: We consider the new divisor 201 and the new remainder 100, and apply the division lemma to get
201 = 100 x 2 + 1
We consider the new divisor 100 and the new remainder 1, and apply the division lemma to get
100 = 1 x 100 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 904 and 703 is 1
Notice that 1 = HCF(100,1) = HCF(201,100) = HCF(703,201) = HCF(904,703) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61 > 1, we apply the division lemma to 61 and 1, to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61 is 1
Notice that 1 = HCF(61,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 649 > 1, we apply the division lemma to 649 and 1, to get
649 = 1 x 649 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 649 is 1
Notice that 1 = HCF(649,1) .
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 904, 703, 61, 649?
Answer: HCF of 904, 703, 61, 649 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 904, 703, 61, 649 using Euclid's Algorithm?
Answer: For arbitrary numbers 904, 703, 61, 649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.