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 247, 685, 722, 597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 247, 685, 722, 597 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 247, 685, 722, 597 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 247, 685, 722, 597 is 1.
HCF(247, 685, 722, 597) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 247, 685, 722, 597 is 1.
Step 1: Since 685 > 247, we apply the division lemma to 685 and 247, to get
685 = 247 x 2 + 191
Step 2: Since the reminder 247 ≠ 0, we apply division lemma to 191 and 247, to get
247 = 191 x 1 + 56
Step 3: We consider the new divisor 191 and the new remainder 56, and apply the division lemma to get
191 = 56 x 3 + 23
We consider the new divisor 56 and the new remainder 23,and apply the division lemma to get
56 = 23 x 2 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 247 and 685 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(56,23) = HCF(191,56) = HCF(247,191) = HCF(685,247) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 722 > 1, we apply the division lemma to 722 and 1, to get
722 = 1 x 722 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 722 is 1
Notice that 1 = HCF(722,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 597 > 1, we apply the division lemma to 597 and 1, to get
597 = 1 x 597 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 597 is 1
Notice that 1 = HCF(597,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 247, 685, 722, 597?
Answer: HCF of 247, 685, 722, 597 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 247, 685, 722, 597 using Euclid's Algorithm?
Answer: For arbitrary numbers 247, 685, 722, 597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.