Highest Common Factor of 1234, 6969 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 1234, 6969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1234, 6969 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 1234, 6969 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 1234, 6969 is 1.
HCF(1234, 6969) = 1
HCF of 1234, 6969 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1234, 6969 is 1.
Highest Common Factor of 1234,6969 is 1
Step 1: Since 6969 > 1234, we apply the division lemma to 6969 and 1234, to get
6969 = 1234 x 5 + 799
Step 2: Since the reminder 1234 ≠ 0, we apply division lemma to 799 and 1234, to get
1234 = 799 x 1 + 435
Step 3: We consider the new divisor 799 and the new remainder 435, and apply the division lemma to get
799 = 435 x 1 + 364
We consider the new divisor 435 and the new remainder 364,and apply the division lemma to get
435 = 364 x 1 + 71
We consider the new divisor 364 and the new remainder 71,and apply the division lemma to get
364 = 71 x 5 + 9
We consider the new divisor 71 and the new remainder 9,and apply the division lemma to get
71 = 9 x 7 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1234 and 6969 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(71,9) = HCF(364,71) = HCF(435,364) = HCF(799,435) = HCF(1234,799) = HCF(6969,1234) .
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Frequently Asked Questions on HCF of 1234, 6969 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 1234, 6969?
Answer: HCF of 1234, 6969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1234, 6969 using Euclid's Algorithm?
Answer: For arbitrary numbers 1234, 6969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
