Highest Common Factor of 597, 868, 501, 945 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 597, 868, 501, 945 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 597, 868, 501, 945 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 597, 868, 501, 945 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 597, 868, 501, 945 is 1.
HCF(597, 868, 501, 945) = 1
HCF of 597, 868, 501, 945 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 597, 868, 501, 945 is 1.
Highest Common Factor of 597,868,501,945 is 1
Step 1: Since 868 > 597, we apply the division lemma to 868 and 597, to get
868 = 597 x 1 + 271
Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 271 and 597, to get
597 = 271 x 2 + 55
Step 3: We consider the new divisor 271 and the new remainder 55, and apply the division lemma to get
271 = 55 x 4 + 51
We consider the new divisor 55 and the new remainder 51,and apply the division lemma to get
55 = 51 x 1 + 4
We consider the new divisor 51 and the new remainder 4,and apply the division lemma to get
51 = 4 x 12 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 597 and 868 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(51,4) = HCF(55,51) = HCF(271,55) = HCF(597,271) = HCF(868,597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 501 > 1, we apply the division lemma to 501 and 1, to get
501 = 1 x 501 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 501 is 1
Notice that 1 = HCF(501,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 945 > 1, we apply the division lemma to 945 and 1, to get
945 = 1 x 945 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 945 is 1
Notice that 1 = HCF(945,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 597, 868, 501, 945 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 597, 868, 501, 945?
Answer: HCF of 597, 868, 501, 945 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 597, 868, 501, 945 using Euclid's Algorithm?
Answer: For arbitrary numbers 597, 868, 501, 945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.