Highest Common Factor of 850, 231, 91, 235 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 850, 231, 91, 235 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 850, 231, 91, 235 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 850, 231, 91, 235 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 850, 231, 91, 235 is 1.
HCF(850, 231, 91, 235) = 1
HCF of 850, 231, 91, 235 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 850, 231, 91, 235 is 1.
Highest Common Factor of 850,231,91,235 is 1
Step 1: Since 850 > 231, we apply the division lemma to 850 and 231, to get
850 = 231 x 3 + 157
Step 2: Since the reminder 231 ≠ 0, we apply division lemma to 157 and 231, to get
231 = 157 x 1 + 74
Step 3: We consider the new divisor 157 and the new remainder 74, and apply the division lemma to get
157 = 74 x 2 + 9
We consider the new divisor 74 and the new remainder 9,and apply the division lemma to get
74 = 9 x 8 + 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 850 and 231 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(74,9) = HCF(157,74) = HCF(231,157) = HCF(850,231) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 91 > 1, we apply the division lemma to 91 and 1, to get
91 = 1 x 91 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 91 is 1
Notice that 1 = HCF(91,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 235 > 1, we apply the division lemma to 235 and 1, to get
235 = 1 x 235 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 235 is 1
Notice that 1 = HCF(235,1) .
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Frequently Asked Questions on HCF of 850, 231, 91, 235 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 850, 231, 91, 235?
Answer: HCF of 850, 231, 91, 235 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 850, 231, 91, 235 using Euclid's Algorithm?
Answer: For arbitrary numbers 850, 231, 91, 235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.