Highest Common Factor of 270, 702, 952, 858 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 270, 702, 952, 858 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 270, 702, 952, 858 is 2 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 270, 702, 952, 858 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 270, 702, 952, 858 is 2.
HCF(270, 702, 952, 858) = 2
HCF of 270, 702, 952, 858 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 270, 702, 952, 858 is 2.
Highest Common Factor of 270,702,952,858 is 2
Step 1: Since 702 > 270, we apply the division lemma to 702 and 270, to get
702 = 270 x 2 + 162
Step 2: Since the reminder 270 ≠ 0, we apply division lemma to 162 and 270, to get
270 = 162 x 1 + 108
Step 3: We consider the new divisor 162 and the new remainder 108, and apply the division lemma to get
162 = 108 x 1 + 54
We consider the new divisor 108 and the new remainder 54, and apply the division lemma to get
108 = 54 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 54, the HCF of 270 and 702 is 54
Notice that 54 = HCF(108,54) = HCF(162,108) = HCF(270,162) = HCF(702,270) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 952 > 54, we apply the division lemma to 952 and 54, to get
952 = 54 x 17 + 34
Step 2: Since the reminder 54 ≠ 0, we apply division lemma to 34 and 54, to get
54 = 34 x 1 + 20
Step 3: We consider the new divisor 34 and the new remainder 20, and apply the division lemma to get
34 = 20 x 1 + 14
We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get
20 = 14 x 1 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 54 and 952 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(34,20) = HCF(54,34) = HCF(952,54) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 858 > 2, we apply the division lemma to 858 and 2, to get
858 = 2 x 429 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 858 is 2
Notice that 2 = HCF(858,2) .
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Frequently Asked Questions on HCF of 270, 702, 952, 858 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 270, 702, 952, 858?
Answer: HCF of 270, 702, 952, 858 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 270, 702, 952, 858 using Euclid's Algorithm?
Answer: For arbitrary numbers 270, 702, 952, 858 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
