Highest Common Factor of 525, 300, 791, 767 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 525, 300, 791, 767 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 525, 300, 791, 767 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 525, 300, 791, 767 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 525, 300, 791, 767 is 1.
HCF(525, 300, 791, 767) = 1
HCF of 525, 300, 791, 767 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 525, 300, 791, 767 is 1.
Highest Common Factor of 525,300,791,767 is 1
Step 1: Since 525 > 300, we apply the division lemma to 525 and 300, to get
525 = 300 x 1 + 225
Step 2: Since the reminder 300 ≠ 0, we apply division lemma to 225 and 300, to get
300 = 225 x 1 + 75
Step 3: We consider the new divisor 225 and the new remainder 75, and apply the division lemma to get
225 = 75 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 75, the HCF of 525 and 300 is 75
Notice that 75 = HCF(225,75) = HCF(300,225) = HCF(525,300) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 791 > 75, we apply the division lemma to 791 and 75, to get
791 = 75 x 10 + 41
Step 2: Since the reminder 75 ≠ 0, we apply division lemma to 41 and 75, to get
75 = 41 x 1 + 34
Step 3: We consider the new divisor 41 and the new remainder 34, and apply the division lemma to get
41 = 34 x 1 + 7
We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get
34 = 7 x 4 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 75 and 791 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(41,34) = HCF(75,41) = HCF(791,75) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 767 > 1, we apply the division lemma to 767 and 1, to get
767 = 1 x 767 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 767 is 1
Notice that 1 = HCF(767,1) .
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Frequently Asked Questions on HCF of 525, 300, 791, 767 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 525, 300, 791, 767?
Answer: HCF of 525, 300, 791, 767 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 525, 300, 791, 767 using Euclid's Algorithm?
Answer: For arbitrary numbers 525, 300, 791, 767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.