Highest Common Factor of 935, 817, 60, 872 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 935, 817, 60, 872 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 935, 817, 60, 872 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 935, 817, 60, 872 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 935, 817, 60, 872 is 1.
HCF(935, 817, 60, 872) = 1
HCF of 935, 817, 60, 872 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 935, 817, 60, 872 is 1.
Highest Common Factor of 935,817,60,872 is 1
Step 1: Since 935 > 817, we apply the division lemma to 935 and 817, to get
935 = 817 x 1 + 118
Step 2: Since the reminder 817 ≠ 0, we apply division lemma to 118 and 817, to get
817 = 118 x 6 + 109
Step 3: We consider the new divisor 118 and the new remainder 109, and apply the division lemma to get
118 = 109 x 1 + 9
We consider the new divisor 109 and the new remainder 9,and apply the division lemma to get
109 = 9 x 12 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 935 and 817 is 1
Notice that 1 = HCF(9,1) = HCF(109,9) = HCF(118,109) = HCF(817,118) = HCF(935,817) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60 > 1, we apply the division lemma to 60 and 1, to get
60 = 1 x 60 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60 is 1
Notice that 1 = HCF(60,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 872 > 1, we apply the division lemma to 872 and 1, to get
872 = 1 x 872 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 872 is 1
Notice that 1 = HCF(872,1) .
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Frequently Asked Questions on HCF of 935, 817, 60, 872 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 935, 817, 60, 872?
Answer: HCF of 935, 817, 60, 872 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 935, 817, 60, 872 using Euclid's Algorithm?
Answer: For arbitrary numbers 935, 817, 60, 872 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.