Highest Common Factor of 752, 523, 977, 915 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 752, 523, 977, 915 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 752, 523, 977, 915 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 752, 523, 977, 915 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 752, 523, 977, 915 is 1.
HCF(752, 523, 977, 915) = 1
HCF of 752, 523, 977, 915 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 752, 523, 977, 915 is 1.
Highest Common Factor of 752,523,977,915 is 1
Step 1: Since 752 > 523, we apply the division lemma to 752 and 523, to get
752 = 523 x 1 + 229
Step 2: Since the reminder 523 ≠ 0, we apply division lemma to 229 and 523, to get
523 = 229 x 2 + 65
Step 3: We consider the new divisor 229 and the new remainder 65, and apply the division lemma to get
229 = 65 x 3 + 34
We consider the new divisor 65 and the new remainder 34,and apply the division lemma to get
65 = 34 x 1 + 31
We consider the new divisor 34 and the new remainder 31,and apply the division lemma to get
34 = 31 x 1 + 3
We consider the new divisor 31 and the new remainder 3,and apply the division lemma to get
31 = 3 x 10 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 752 and 523 is 1
Notice that 1 = HCF(3,1) = HCF(31,3) = HCF(34,31) = HCF(65,34) = HCF(229,65) = HCF(523,229) = HCF(752,523) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 977 > 1, we apply the division lemma to 977 and 1, to get
977 = 1 x 977 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 977 is 1
Notice that 1 = HCF(977,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 915 > 1, we apply the division lemma to 915 and 1, to get
915 = 1 x 915 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 915 is 1
Notice that 1 = HCF(915,1) .
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Frequently Asked Questions on HCF of 752, 523, 977, 915 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 752, 523, 977, 915?
Answer: HCF of 752, 523, 977, 915 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 752, 523, 977, 915 using Euclid's Algorithm?
Answer: For arbitrary numbers 752, 523, 977, 915 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
