Highest Common Factor of 725, 928, 961 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 725, 928, 961 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 725, 928, 961 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 725, 928, 961 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 725, 928, 961 is 1.
HCF(725, 928, 961) = 1
HCF of 725, 928, 961 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 725, 928, 961 is 1.
Highest Common Factor of 725,928,961 is 1
Step 1: Since 928 > 725, we apply the division lemma to 928 and 725, to get
928 = 725 x 1 + 203
Step 2: Since the reminder 725 ≠ 0, we apply division lemma to 203 and 725, to get
725 = 203 x 3 + 116
Step 3: We consider the new divisor 203 and the new remainder 116, and apply the division lemma to get
203 = 116 x 1 + 87
We consider the new divisor 116 and the new remainder 87,and apply the division lemma to get
116 = 87 x 1 + 29
We consider the new divisor 87 and the new remainder 29,and apply the division lemma to get
87 = 29 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 725 and 928 is 29
Notice that 29 = HCF(87,29) = HCF(116,87) = HCF(203,116) = HCF(725,203) = HCF(928,725) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 961 > 29, we apply the division lemma to 961 and 29, to get
961 = 29 x 33 + 4
Step 2: Since the reminder 29 ≠ 0, we apply division lemma to 4 and 29, to get
29 = 4 x 7 + 1
Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 29 and 961 is 1
Notice that 1 = HCF(4,1) = HCF(29,4) = HCF(961,29) .
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Frequently Asked Questions on HCF of 725, 928, 961 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 725, 928, 961?
Answer: HCF of 725, 928, 961 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 725, 928, 961 using Euclid's Algorithm?
Answer: For arbitrary numbers 725, 928, 961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.