Highest Common Factor of 941, 527 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 941, 527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 941, 527 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 941, 527 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 941, 527 is 1.
HCF(941, 527) = 1
HCF of 941, 527 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 941, 527 is 1.
Highest Common Factor of 941,527 is 1
Step 1: Since 941 > 527, we apply the division lemma to 941 and 527, to get
941 = 527 x 1 + 414
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 414 and 527, to get
527 = 414 x 1 + 113
Step 3: We consider the new divisor 414 and the new remainder 113, and apply the division lemma to get
414 = 113 x 3 + 75
We consider the new divisor 113 and the new remainder 75,and apply the division lemma to get
113 = 75 x 1 + 38
We consider the new divisor 75 and the new remainder 38,and apply the division lemma to get
75 = 38 x 1 + 37
We consider the new divisor 38 and the new remainder 37,and apply the division lemma to get
38 = 37 x 1 + 1
We consider the new divisor 37 and the new remainder 1,and apply the division lemma to get
37 = 1 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 941 and 527 is 1
Notice that 1 = HCF(37,1) = HCF(38,37) = HCF(75,38) = HCF(113,75) = HCF(414,113) = HCF(527,414) = HCF(941,527) .
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Frequently Asked Questions on HCF of 941, 527 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 941, 527?
Answer: HCF of 941, 527 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 941, 527 using Euclid's Algorithm?
Answer: For arbitrary numbers 941, 527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.