Highest Common Factor of 942, 380, 362, 253 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 942, 380, 362, 253 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 942, 380, 362, 253 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 942, 380, 362, 253 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 942, 380, 362, 253 is 1.
HCF(942, 380, 362, 253) = 1
HCF of 942, 380, 362, 253 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 942, 380, 362, 253 is 1.
Highest Common Factor of 942,380,362,253 is 1
Step 1: Since 942 > 380, we apply the division lemma to 942 and 380, to get
942 = 380 x 2 + 182
Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 182 and 380, to get
380 = 182 x 2 + 16
Step 3: We consider the new divisor 182 and the new remainder 16, and apply the division lemma to get
182 = 16 x 11 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 942 and 380 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(182,16) = HCF(380,182) = HCF(942,380) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 362 > 2, we apply the division lemma to 362 and 2, to get
362 = 2 x 181 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 362 is 2
Notice that 2 = HCF(362,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 253 > 2, we apply the division lemma to 253 and 2, to get
253 = 2 x 126 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 253 is 1
Notice that 1 = HCF(2,1) = HCF(253,2) .
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Frequently Asked Questions on HCF of 942, 380, 362, 253 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 942, 380, 362, 253?
Answer: HCF of 942, 380, 362, 253 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 942, 380, 362, 253 using Euclid's Algorithm?
Answer: For arbitrary numbers 942, 380, 362, 253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.