Highest Common Factor of 525, 868 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 525, 868 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 525, 868 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 525, 868 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 525, 868 is 7.
HCF(525, 868) = 7
HCF of 525, 868 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 525, 868 is 7.
Highest Common Factor of 525,868 is 7
Step 1: Since 868 > 525, we apply the division lemma to 868 and 525, to get
868 = 525 x 1 + 343
Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 343 and 525, to get
525 = 343 x 1 + 182
Step 3: We consider the new divisor 343 and the new remainder 182, and apply the division lemma to get
343 = 182 x 1 + 161
We consider the new divisor 182 and the new remainder 161,and apply the division lemma to get
182 = 161 x 1 + 21
We consider the new divisor 161 and the new remainder 21,and apply the division lemma to get
161 = 21 x 7 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 525 and 868 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(161,21) = HCF(182,161) = HCF(343,182) = HCF(525,343) = HCF(868,525) .
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Frequently Asked Questions on HCF of 525, 868 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 525, 868?
Answer: HCF of 525, 868 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 525, 868 using Euclid's Algorithm?
Answer: For arbitrary numbers 525, 868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.