Highest Common Factor of 154, 847, 120, 217 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 154, 847, 120, 217 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 154, 847, 120, 217 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 154, 847, 120, 217 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 154, 847, 120, 217 is 1.
HCF(154, 847, 120, 217) = 1
HCF of 154, 847, 120, 217 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 154, 847, 120, 217 is 1.
Highest Common Factor of 154,847,120,217 is 1
Step 1: Since 847 > 154, we apply the division lemma to 847 and 154, to get
847 = 154 x 5 + 77
Step 2: Since the reminder 154 ≠ 0, we apply division lemma to 77 and 154, to get
154 = 77 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 77, the HCF of 154 and 847 is 77
Notice that 77 = HCF(154,77) = HCF(847,154) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 120 > 77, we apply the division lemma to 120 and 77, to get
120 = 77 x 1 + 43
Step 2: Since the reminder 77 ≠ 0, we apply division lemma to 43 and 77, to get
77 = 43 x 1 + 34
Step 3: We consider the new divisor 43 and the new remainder 34, and apply the division lemma to get
43 = 34 x 1 + 9
We consider the new divisor 34 and the new remainder 9,and apply the division lemma to get
34 = 9 x 3 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 77 and 120 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(34,9) = HCF(43,34) = HCF(77,43) = HCF(120,77) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 217 > 1, we apply the division lemma to 217 and 1, to get
217 = 1 x 217 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 217 is 1
Notice that 1 = HCF(217,1) .
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Frequently Asked Questions on HCF of 154, 847, 120, 217 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 154, 847, 120, 217?
Answer: HCF of 154, 847, 120, 217 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 154, 847, 120, 217 using Euclid's Algorithm?
Answer: For arbitrary numbers 154, 847, 120, 217 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.