Highest Common Factor of 917, 836, 972, 72 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 917, 836, 972, 72 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 917, 836, 972, 72 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 917, 836, 972, 72 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 917, 836, 972, 72 is 1.
HCF(917, 836, 972, 72) = 1
HCF of 917, 836, 972, 72 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 917, 836, 972, 72 is 1.
Highest Common Factor of 917,836,972,72 is 1
Step 1: Since 917 > 836, we apply the division lemma to 917 and 836, to get
917 = 836 x 1 + 81
Step 2: Since the reminder 836 ≠ 0, we apply division lemma to 81 and 836, to get
836 = 81 x 10 + 26
Step 3: We consider the new divisor 81 and the new remainder 26, and apply the division lemma to get
81 = 26 x 3 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 917 and 836 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(81,26) = HCF(836,81) = HCF(917,836) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 972 > 1, we apply the division lemma to 972 and 1, to get
972 = 1 x 972 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 972 is 1
Notice that 1 = HCF(972,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 72 > 1, we apply the division lemma to 72 and 1, to get
72 = 1 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72 is 1
Notice that 1 = HCF(72,1) .
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Frequently Asked Questions on HCF of 917, 836, 972, 72 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 917, 836, 972, 72?
Answer: HCF of 917, 836, 972, 72 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 917, 836, 972, 72 using Euclid's Algorithm?
Answer: For arbitrary numbers 917, 836, 972, 72 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.