Highest Common Factor of 1237, 890 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 1237, 890 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1237, 890 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 1237, 890 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 1237, 890 is 1.
HCF(1237, 890) = 1
HCF of 1237, 890 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1237, 890 is 1.
Highest Common Factor of 1237,890 is 1
Step 1: Since 1237 > 890, we apply the division lemma to 1237 and 890, to get
1237 = 890 x 1 + 347
Step 2: Since the reminder 890 ≠ 0, we apply division lemma to 347 and 890, to get
890 = 347 x 2 + 196
Step 3: We consider the new divisor 347 and the new remainder 196, and apply the division lemma to get
347 = 196 x 1 + 151
We consider the new divisor 196 and the new remainder 151,and apply the division lemma to get
196 = 151 x 1 + 45
We consider the new divisor 151 and the new remainder 45,and apply the division lemma to get
151 = 45 x 3 + 16
We consider the new divisor 45 and the new remainder 16,and apply the division lemma to get
45 = 16 x 2 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1237 and 890 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(45,16) = HCF(151,45) = HCF(196,151) = HCF(347,196) = HCF(890,347) = HCF(1237,890) .
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Frequently Asked Questions on HCF of 1237, 890 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 1237, 890?
Answer: HCF of 1237, 890 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1237, 890 using Euclid's Algorithm?
Answer: For arbitrary numbers 1237, 890 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.