Highest Common Factor of 842, 198, 846, 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 842, 198, 846, 253 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 842, 198, 846, 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 842, 198, 846, 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 842, 198, 846, 253 is 1.
HCF(842, 198, 846, 253) = 1
HCF of 842, 198, 846, 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 842, 198, 846, 253 is 1.
Highest Common Factor of 842,198,846,253 is 1
Step 1: Since 842 > 198, we apply the division lemma to 842 and 198, to get
842 = 198 x 4 + 50
Step 2: Since the reminder 198 ≠ 0, we apply division lemma to 50 and 198, to get
198 = 50 x 3 + 48
Step 3: We consider the new divisor 50 and the new remainder 48, and apply the division lemma to get
50 = 48 x 1 + 2
We consider the new divisor 48 and the new remainder 2, and apply the division lemma to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 842 and 198 is 2
Notice that 2 = HCF(48,2) = HCF(50,48) = HCF(198,50) = HCF(842,198) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 846 > 2, we apply the division lemma to 846 and 2, to get
846 = 2 x 423 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 846 is 2
Notice that 2 = HCF(846,2) .
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 842, 198, 846, 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 842, 198, 846, 253?
Answer: HCF of 842, 198, 846, 253 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 842, 198, 846, 253 using Euclid's Algorithm?
Answer: For arbitrary numbers 842, 198, 846, 253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.