Highest Common Factor of 527, 961, 325 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 527, 961, 325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 527, 961, 325 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 527, 961, 325 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 527, 961, 325 is 1.
HCF(527, 961, 325) = 1
HCF of 527, 961, 325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 527, 961, 325 is 1.
Highest Common Factor of 527,961,325 is 1
Step 1: Since 961 > 527, we apply the division lemma to 961 and 527, to get
961 = 527 x 1 + 434
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 434 and 527, to get
527 = 434 x 1 + 93
Step 3: We consider the new divisor 434 and the new remainder 93, and apply the division lemma to get
434 = 93 x 4 + 62
We consider the new divisor 93 and the new remainder 62,and apply the division lemma to get
93 = 62 x 1 + 31
We consider the new divisor 62 and the new remainder 31,and apply the division lemma to get
62 = 31 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 527 and 961 is 31
Notice that 31 = HCF(62,31) = HCF(93,62) = HCF(434,93) = HCF(527,434) = HCF(961,527) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 325 > 31, we apply the division lemma to 325 and 31, to get
325 = 31 x 10 + 15
Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 15 and 31, to get
31 = 15 x 2 + 1
Step 3: We consider the new divisor 15 and the new remainder 1, and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 31 and 325 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(325,31) .
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Frequently Asked Questions on HCF of 527, 961, 325 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 527, 961, 325?
Answer: HCF of 527, 961, 325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 527, 961, 325 using Euclid's Algorithm?
Answer: For arbitrary numbers 527, 961, 325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
