Highest Common Factor of 117, 795, 50, 950 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 117, 795, 50, 950 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 117, 795, 50, 950 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 117, 795, 50, 950 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 117, 795, 50, 950 is 1.
HCF(117, 795, 50, 950) = 1
HCF of 117, 795, 50, 950 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 117, 795, 50, 950 is 1.
Highest Common Factor of 117,795,50,950 is 1
Step 1: Since 795 > 117, we apply the division lemma to 795 and 117, to get
795 = 117 x 6 + 93
Step 2: Since the reminder 117 ≠ 0, we apply division lemma to 93 and 117, to get
117 = 93 x 1 + 24
Step 3: We consider the new divisor 93 and the new remainder 24, and apply the division lemma to get
93 = 24 x 3 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 117 and 795 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(93,24) = HCF(117,93) = HCF(795,117) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 50 > 3, we apply the division lemma to 50 and 3, to get
50 = 3 x 16 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 50 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(50,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 950 > 1, we apply the division lemma to 950 and 1, to get
950 = 1 x 950 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 950 is 1
Notice that 1 = HCF(950,1) .
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Frequently Asked Questions on HCF of 117, 795, 50, 950 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 117, 795, 50, 950?
Answer: HCF of 117, 795, 50, 950 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 117, 795, 50, 950 using Euclid's Algorithm?
Answer: For arbitrary numbers 117, 795, 50, 950 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.