Highest Common Factor of 709, 528, 161, 310 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 709, 528, 161, 310 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 709, 528, 161, 310 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 709, 528, 161, 310 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 709, 528, 161, 310 is 1.
HCF(709, 528, 161, 310) = 1
HCF of 709, 528, 161, 310 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 709, 528, 161, 310 is 1.
Highest Common Factor of 709,528,161,310 is 1
Step 1: Since 709 > 528, we apply the division lemma to 709 and 528, to get
709 = 528 x 1 + 181
Step 2: Since the reminder 528 ≠ 0, we apply division lemma to 181 and 528, to get
528 = 181 x 2 + 166
Step 3: We consider the new divisor 181 and the new remainder 166, and apply the division lemma to get
181 = 166 x 1 + 15
We consider the new divisor 166 and the new remainder 15,and apply the division lemma to get
166 = 15 x 11 + 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 709 and 528 is 1
Notice that 1 = HCF(15,1) = HCF(166,15) = HCF(181,166) = HCF(528,181) = HCF(709,528) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 161 > 1, we apply the division lemma to 161 and 1, to get
161 = 1 x 161 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 161 is 1
Notice that 1 = HCF(161,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 310 > 1, we apply the division lemma to 310 and 1, to get
310 = 1 x 310 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 310 is 1
Notice that 1 = HCF(310,1) .
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Frequently Asked Questions on HCF of 709, 528, 161, 310 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 709, 528, 161, 310?
Answer: HCF of 709, 528, 161, 310 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 709, 528, 161, 310 using Euclid's Algorithm?
Answer: For arbitrary numbers 709, 528, 161, 310 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.