Highest Common Factor of 501, 835, 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 501, 835, 310 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 501, 835, 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 501, 835, 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 501, 835, 310 is 1.
HCF(501, 835, 310) = 1
HCF of 501, 835, 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 501, 835, 310 is 1.
Highest Common Factor of 501,835,310 is 1
Step 1: Since 835 > 501, we apply the division lemma to 835 and 501, to get
835 = 501 x 1 + 334
Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 334 and 501, to get
501 = 334 x 1 + 167
Step 3: We consider the new divisor 334 and the new remainder 167, and apply the division lemma to get
334 = 167 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 167, the HCF of 501 and 835 is 167
Notice that 167 = HCF(334,167) = HCF(501,334) = HCF(835,501) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 310 > 167, we apply the division lemma to 310 and 167, to get
310 = 167 x 1 + 143
Step 2: Since the reminder 167 ≠ 0, we apply division lemma to 143 and 167, to get
167 = 143 x 1 + 24
Step 3: We consider the new divisor 143 and the new remainder 24, and apply the division lemma to get
143 = 24 x 5 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 167 and 310 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(143,24) = HCF(167,143) = HCF(310,167) .
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Frequently Asked Questions on HCF of 501, 835, 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 501, 835, 310?
Answer: HCF of 501, 835, 310 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 501, 835, 310 using Euclid's Algorithm?
Answer: For arbitrary numbers 501, 835, 310 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
