Highest Common Factor of 747, 878, 915, 52 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 747, 878, 915, 52 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 747, 878, 915, 52 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 747, 878, 915, 52 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 747, 878, 915, 52 is 1.
HCF(747, 878, 915, 52) = 1
HCF of 747, 878, 915, 52 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 747, 878, 915, 52 is 1.
Highest Common Factor of 747,878,915,52 is 1
Step 1: Since 878 > 747, we apply the division lemma to 878 and 747, to get
878 = 747 x 1 + 131
Step 2: Since the reminder 747 ≠ 0, we apply division lemma to 131 and 747, to get
747 = 131 x 5 + 92
Step 3: We consider the new divisor 131 and the new remainder 92, and apply the division lemma to get
131 = 92 x 1 + 39
We consider the new divisor 92 and the new remainder 39,and apply the division lemma to get
92 = 39 x 2 + 14
We consider the new divisor 39 and the new remainder 14,and apply the division lemma to get
39 = 14 x 2 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 747 and 878 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(39,14) = HCF(92,39) = HCF(131,92) = HCF(747,131) = HCF(878,747) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 915 > 1, we apply the division lemma to 915 and 1, to get
915 = 1 x 915 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 915 is 1
Notice that 1 = HCF(915,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52 > 1, we apply the division lemma to 52 and 1, to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52 is 1
Notice that 1 = HCF(52,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 747, 878, 915, 52 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 747, 878, 915, 52?
Answer: HCF of 747, 878, 915, 52 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 747, 878, 915, 52 using Euclid's Algorithm?
Answer: For arbitrary numbers 747, 878, 915, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.