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 901, 559, 937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 901, 559, 937 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 901, 559, 937 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 901, 559, 937 is 1.
HCF(901, 559, 937) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 901, 559, 937 is 1.
Step 1: Since 901 > 559, we apply the division lemma to 901 and 559, to get
901 = 559 x 1 + 342
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 342 and 559, to get
559 = 342 x 1 + 217
Step 3: We consider the new divisor 342 and the new remainder 217, and apply the division lemma to get
342 = 217 x 1 + 125
We consider the new divisor 217 and the new remainder 125,and apply the division lemma to get
217 = 125 x 1 + 92
We consider the new divisor 125 and the new remainder 92,and apply the division lemma to get
125 = 92 x 1 + 33
We consider the new divisor 92 and the new remainder 33,and apply the division lemma to get
92 = 33 x 2 + 26
We consider the new divisor 33 and the new remainder 26,and apply the division lemma to get
33 = 26 x 1 + 7
We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get
26 = 7 x 3 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 901 and 559 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(33,26) = HCF(92,33) = HCF(125,92) = HCF(217,125) = HCF(342,217) = HCF(559,342) = HCF(901,559) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 937 > 1, we apply the division lemma to 937 and 1, to get
937 = 1 x 937 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 937 is 1
Notice that 1 = HCF(937,1) .
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 901, 559, 937?
Answer: HCF of 901, 559, 937 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 901, 559, 937 using Euclid's Algorithm?
Answer: For arbitrary numbers 901, 559, 937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.