Highest Common Factor of 525, 916 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, 916 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 525, 916 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 525, 916 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, 916 is 1.
HCF(525, 916) = 1
HCF of 525, 916 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, 916 is 1.
Highest Common Factor of 525,916 is 1
Step 1: Since 916 > 525, we apply the division lemma to 916 and 525, to get
916 = 525 x 1 + 391
Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 391 and 525, to get
525 = 391 x 1 + 134
Step 3: We consider the new divisor 391 and the new remainder 134, and apply the division lemma to get
391 = 134 x 2 + 123
We consider the new divisor 134 and the new remainder 123,and apply the division lemma to get
134 = 123 x 1 + 11
We consider the new divisor 123 and the new remainder 11,and apply the division lemma to get
123 = 11 x 11 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 525 and 916 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(123,11) = HCF(134,123) = HCF(391,134) = HCF(525,391) = HCF(916,525) .
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Frequently Asked Questions on HCF of 525, 916 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, 916?
Answer: HCF of 525, 916 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 525, 916 using Euclid's Algorithm?
Answer: For arbitrary numbers 525, 916 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.