Highest Common Factor of 770, 527, 613, 301 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 770, 527, 613, 301 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 770, 527, 613, 301 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 770, 527, 613, 301 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 770, 527, 613, 301 is 1.
HCF(770, 527, 613, 301) = 1
HCF of 770, 527, 613, 301 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 770, 527, 613, 301 is 1.
Highest Common Factor of 770,527,613,301 is 1
Step 1: Since 770 > 527, we apply the division lemma to 770 and 527, to get
770 = 527 x 1 + 243
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 243 and 527, to get
527 = 243 x 2 + 41
Step 3: We consider the new divisor 243 and the new remainder 41, and apply the division lemma to get
243 = 41 x 5 + 38
We consider the new divisor 41 and the new remainder 38,and apply the division lemma to get
41 = 38 x 1 + 3
We consider the new divisor 38 and the new remainder 3,and apply the division lemma to get
38 = 3 x 12 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 770 and 527 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(38,3) = HCF(41,38) = HCF(243,41) = HCF(527,243) = HCF(770,527) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 613 > 1, we apply the division lemma to 613 and 1, to get
613 = 1 x 613 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 613 is 1
Notice that 1 = HCF(613,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 301 > 1, we apply the division lemma to 301 and 1, to get
301 = 1 x 301 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 301 is 1
Notice that 1 = HCF(301,1) .
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Frequently Asked Questions on HCF of 770, 527, 613, 301 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 770, 527, 613, 301?
Answer: HCF of 770, 527, 613, 301 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 770, 527, 613, 301 using Euclid's Algorithm?
Answer: For arbitrary numbers 770, 527, 613, 301 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.