Highest Common Factor of 959, 799, 670 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 959, 799, 670 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 959, 799, 670 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 959, 799, 670 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 959, 799, 670 is 1.
HCF(959, 799, 670) = 1
HCF of 959, 799, 670 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 959, 799, 670 is 1.
Highest Common Factor of 959,799,670 is 1
Step 1: Since 959 > 799, we apply the division lemma to 959 and 799, to get
959 = 799 x 1 + 160
Step 2: Since the reminder 799 ≠ 0, we apply division lemma to 160 and 799, to get
799 = 160 x 4 + 159
Step 3: We consider the new divisor 160 and the new remainder 159, and apply the division lemma to get
160 = 159 x 1 + 1
We consider the new divisor 159 and the new remainder 1, and apply the division lemma to get
159 = 1 x 159 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 959 and 799 is 1
Notice that 1 = HCF(159,1) = HCF(160,159) = HCF(799,160) = HCF(959,799) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 670 > 1, we apply the division lemma to 670 and 1, to get
670 = 1 x 670 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 670 is 1
Notice that 1 = HCF(670,1) .
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Frequently Asked Questions on HCF of 959, 799, 670 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 959, 799, 670?
Answer: HCF of 959, 799, 670 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 959, 799, 670 using Euclid's Algorithm?
Answer: For arbitrary numbers 959, 799, 670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.