Highest Common Factor of 313, 808, 635, 934 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 313, 808, 635, 934 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 313, 808, 635, 934 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 313, 808, 635, 934 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 313, 808, 635, 934 is 1.
HCF(313, 808, 635, 934) = 1
HCF of 313, 808, 635, 934 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 313, 808, 635, 934 is 1.
Highest Common Factor of 313,808,635,934 is 1
Step 1: Since 808 > 313, we apply the division lemma to 808 and 313, to get
808 = 313 x 2 + 182
Step 2: Since the reminder 313 ≠ 0, we apply division lemma to 182 and 313, to get
313 = 182 x 1 + 131
Step 3: We consider the new divisor 182 and the new remainder 131, and apply the division lemma to get
182 = 131 x 1 + 51
We consider the new divisor 131 and the new remainder 51,and apply the division lemma to get
131 = 51 x 2 + 29
We consider the new divisor 51 and the new remainder 29,and apply the division lemma to get
51 = 29 x 1 + 22
We consider the new divisor 29 and the new remainder 22,and apply the division lemma to get
29 = 22 x 1 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 313 and 808 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(29,22) = HCF(51,29) = HCF(131,51) = HCF(182,131) = HCF(313,182) = HCF(808,313) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 635 > 1, we apply the division lemma to 635 and 1, to get
635 = 1 x 635 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 635 is 1
Notice that 1 = HCF(635,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 934 > 1, we apply the division lemma to 934 and 1, to get
934 = 1 x 934 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 934 is 1
Notice that 1 = HCF(934,1) .
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Frequently Asked Questions on HCF of 313, 808, 635, 934 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 313, 808, 635, 934?
Answer: HCF of 313, 808, 635, 934 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 313, 808, 635, 934 using Euclid's Algorithm?
Answer: For arbitrary numbers 313, 808, 635, 934 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.