Highest Common Factor of 373, 720, 657 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 373, 720, 657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 373, 720, 657 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 373, 720, 657 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 373, 720, 657 is 1.
HCF(373, 720, 657) = 1
HCF of 373, 720, 657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 373, 720, 657 is 1.
Highest Common Factor of 373,720,657 is 1
Step 1: Since 720 > 373, we apply the division lemma to 720 and 373, to get
720 = 373 x 1 + 347
Step 2: Since the reminder 373 ≠ 0, we apply division lemma to 347 and 373, to get
373 = 347 x 1 + 26
Step 3: We consider the new divisor 347 and the new remainder 26, and apply the division lemma to get
347 = 26 x 13 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 373 and 720 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(347,26) = HCF(373,347) = HCF(720,373) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 657 > 1, we apply the division lemma to 657 and 1, to get
657 = 1 x 657 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 657 is 1
Notice that 1 = HCF(657,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 373, 720, 657 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 373, 720, 657?
Answer: HCF of 373, 720, 657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 373, 720, 657 using Euclid's Algorithm?
Answer: For arbitrary numbers 373, 720, 657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.