Highest Common Factor of 910, 539 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 910, 539 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 539 is 7 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 910, 539 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 910, 539 is 7.
HCF(910, 539) = 7
HCF of 910, 539 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 539 is 7.
Highest Common Factor of 910,539 is 7
Step 1: Since 910 > 539, we apply the division lemma to 910 and 539, to get
910 = 539 x 1 + 371
Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 371 and 539, to get
539 = 371 x 1 + 168
Step 3: We consider the new divisor 371 and the new remainder 168, and apply the division lemma to get
371 = 168 x 2 + 35
We consider the new divisor 168 and the new remainder 35,and apply the division lemma to get
168 = 35 x 4 + 28
We consider the new divisor 35 and the new remainder 28,and apply the division lemma to get
35 = 28 x 1 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 910 and 539 is 7
Notice that 7 = HCF(28,7) = HCF(35,28) = HCF(168,35) = HCF(371,168) = HCF(539,371) = HCF(910,539) .
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Frequently Asked Questions on HCF of 910, 539 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 910, 539?
Answer: HCF of 910, 539 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 539 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 539 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.