Highest Common Factor of 721, 874, 932 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 721, 874, 932 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 721, 874, 932 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 721, 874, 932 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 721, 874, 932 is 1.
HCF(721, 874, 932) = 1
HCF of 721, 874, 932 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 721, 874, 932 is 1.
Highest Common Factor of 721,874,932 is 1
Step 1: Since 874 > 721, we apply the division lemma to 874 and 721, to get
874 = 721 x 1 + 153
Step 2: Since the reminder 721 ≠ 0, we apply division lemma to 153 and 721, to get
721 = 153 x 4 + 109
Step 3: We consider the new divisor 153 and the new remainder 109, and apply the division lemma to get
153 = 109 x 1 + 44
We consider the new divisor 109 and the new remainder 44,and apply the division lemma to get
109 = 44 x 2 + 21
We consider the new divisor 44 and the new remainder 21,and apply the division lemma to get
44 = 21 x 2 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 721 and 874 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(44,21) = HCF(109,44) = HCF(153,109) = HCF(721,153) = HCF(874,721) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 932 > 1, we apply the division lemma to 932 and 1, to get
932 = 1 x 932 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 932 is 1
Notice that 1 = HCF(932,1) .
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Frequently Asked Questions on HCF of 721, 874, 932 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 721, 874, 932?
Answer: HCF of 721, 874, 932 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 721, 874, 932 using Euclid's Algorithm?
Answer: For arbitrary numbers 721, 874, 932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.