Highest Common Factor of 119, 671 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 119, 671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 119, 671 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 119, 671 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 119, 671 is 1.
HCF(119, 671) = 1
HCF of 119, 671 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 119, 671 is 1.
Highest Common Factor of 119,671 is 1
Step 1: Since 671 > 119, we apply the division lemma to 671 and 119, to get
671 = 119 x 5 + 76
Step 2: Since the reminder 119 ≠ 0, we apply division lemma to 76 and 119, to get
119 = 76 x 1 + 43
Step 3: We consider the new divisor 76 and the new remainder 43, and apply the division lemma to get
76 = 43 x 1 + 33
We consider the new divisor 43 and the new remainder 33,and apply the division lemma to get
43 = 33 x 1 + 10
We consider the new divisor 33 and the new remainder 10,and apply the division lemma to get
33 = 10 x 3 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 119 and 671 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(33,10) = HCF(43,33) = HCF(76,43) = HCF(119,76) = HCF(671,119) .
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Frequently Asked Questions on HCF of 119, 671 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 119, 671?
Answer: HCF of 119, 671 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 119, 671 using Euclid's Algorithm?
Answer: For arbitrary numbers 119, 671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.