Highest Common Factor of 847, 242, 832 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 847, 242, 832 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 847, 242, 832 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 847, 242, 832 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 847, 242, 832 is 1.
HCF(847, 242, 832) = 1
HCF of 847, 242, 832 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 847, 242, 832 is 1.
Highest Common Factor of 847,242,832 is 1
Step 1: Since 847 > 242, we apply the division lemma to 847 and 242, to get
847 = 242 x 3 + 121
Step 2: Since the reminder 242 ≠ 0, we apply division lemma to 121 and 242, to get
242 = 121 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 121, the HCF of 847 and 242 is 121
Notice that 121 = HCF(242,121) = HCF(847,242) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 832 > 121, we apply the division lemma to 832 and 121, to get
832 = 121 x 6 + 106
Step 2: Since the reminder 121 ≠ 0, we apply division lemma to 106 and 121, to get
121 = 106 x 1 + 15
Step 3: We consider the new divisor 106 and the new remainder 15, and apply the division lemma to get
106 = 15 x 7 + 1
We consider the new divisor 15 and the new remainder 1, and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 121 and 832 is 1
Notice that 1 = HCF(15,1) = HCF(106,15) = HCF(121,106) = HCF(832,121) .
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Frequently Asked Questions on HCF of 847, 242, 832 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 847, 242, 832?
Answer: HCF of 847, 242, 832 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 847, 242, 832 using Euclid's Algorithm?
Answer: For arbitrary numbers 847, 242, 832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.