Highest Common Factor of 1844, 692 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 1844, 692 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1844, 692 is 4 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 1844, 692 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 1844, 692 is 4.
HCF(1844, 692) = 4
HCF of 1844, 692 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1844, 692 is 4.
Highest Common Factor of 1844,692 is 4
Step 1: Since 1844 > 692, we apply the division lemma to 1844 and 692, to get
1844 = 692 x 2 + 460
Step 2: Since the reminder 692 ≠ 0, we apply division lemma to 460 and 692, to get
692 = 460 x 1 + 232
Step 3: We consider the new divisor 460 and the new remainder 232, and apply the division lemma to get
460 = 232 x 1 + 228
We consider the new divisor 232 and the new remainder 228,and apply the division lemma to get
232 = 228 x 1 + 4
We consider the new divisor 228 and the new remainder 4,and apply the division lemma to get
228 = 4 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1844 and 692 is 4
Notice that 4 = HCF(228,4) = HCF(232,228) = HCF(460,232) = HCF(692,460) = HCF(1844,692) .
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Frequently Asked Questions on HCF of 1844, 692 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 1844, 692?
Answer: HCF of 1844, 692 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1844, 692 using Euclid's Algorithm?
Answer: For arbitrary numbers 1844, 692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.