Highest Common Factor of 714, 957, 41 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 714, 957, 41 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 714, 957, 41 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 714, 957, 41 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 714, 957, 41 is 1.
HCF(714, 957, 41) = 1
HCF of 714, 957, 41 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 714, 957, 41 is 1.
Highest Common Factor of 714,957,41 is 1
Step 1: Since 957 > 714, we apply the division lemma to 957 and 714, to get
957 = 714 x 1 + 243
Step 2: Since the reminder 714 ≠ 0, we apply division lemma to 243 and 714, to get
714 = 243 x 2 + 228
Step 3: We consider the new divisor 243 and the new remainder 228, and apply the division lemma to get
243 = 228 x 1 + 15
We consider the new divisor 228 and the new remainder 15,and apply the division lemma to get
228 = 15 x 15 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 714 and 957 is 3
Notice that 3 = HCF(15,3) = HCF(228,15) = HCF(243,228) = HCF(714,243) = HCF(957,714) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 41 > 3, we apply the division lemma to 41 and 3, to get
41 = 3 x 13 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 41 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(41,3) .
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Frequently Asked Questions on HCF of 714, 957, 41 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 714, 957, 41?
Answer: HCF of 714, 957, 41 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 714, 957, 41 using Euclid's Algorithm?
Answer: For arbitrary numbers 714, 957, 41 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.