Highest Common Factor of 370, 6537, 6525 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 370, 6537, 6525 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 370, 6537, 6525 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 370, 6537, 6525 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 370, 6537, 6525 is 1.
HCF(370, 6537, 6525) = 1
HCF of 370, 6537, 6525 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 370, 6537, 6525 is 1.
Highest Common Factor of 370,6537,6525 is 1
Step 1: Since 6537 > 370, we apply the division lemma to 6537 and 370, to get
6537 = 370 x 17 + 247
Step 2: Since the reminder 370 ≠ 0, we apply division lemma to 247 and 370, to get
370 = 247 x 1 + 123
Step 3: We consider the new divisor 247 and the new remainder 123, and apply the division lemma to get
247 = 123 x 2 + 1
We consider the new divisor 123 and the new remainder 1, and apply the division lemma to get
123 = 1 x 123 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 370 and 6537 is 1
Notice that 1 = HCF(123,1) = HCF(247,123) = HCF(370,247) = HCF(6537,370) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6525 > 1, we apply the division lemma to 6525 and 1, to get
6525 = 1 x 6525 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6525 is 1
Notice that 1 = HCF(6525,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 370, 6537, 6525 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 370, 6537, 6525?
Answer: HCF of 370, 6537, 6525 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 370, 6537, 6525 using Euclid's Algorithm?
Answer: For arbitrary numbers 370, 6537, 6525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.