Highest Common Factor of 1967, 7442 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 1967, 7442 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1967, 7442 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 1967, 7442 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 1967, 7442 is 1.
HCF(1967, 7442) = 1
HCF of 1967, 7442 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1967, 7442 is 1.
Highest Common Factor of 1967,7442 is 1
Step 1: Since 7442 > 1967, we apply the division lemma to 7442 and 1967, to get
7442 = 1967 x 3 + 1541
Step 2: Since the reminder 1967 ≠ 0, we apply division lemma to 1541 and 1967, to get
1967 = 1541 x 1 + 426
Step 3: We consider the new divisor 1541 and the new remainder 426, and apply the division lemma to get
1541 = 426 x 3 + 263
We consider the new divisor 426 and the new remainder 263,and apply the division lemma to get
426 = 263 x 1 + 163
We consider the new divisor 263 and the new remainder 163,and apply the division lemma to get
263 = 163 x 1 + 100
We consider the new divisor 163 and the new remainder 100,and apply the division lemma to get
163 = 100 x 1 + 63
We consider the new divisor 100 and the new remainder 63,and apply the division lemma to get
100 = 63 x 1 + 37
We consider the new divisor 63 and the new remainder 37,and apply the division lemma to get
63 = 37 x 1 + 26
We consider the new divisor 37 and the new remainder 26,and apply the division lemma to get
37 = 26 x 1 + 11
We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get
26 = 11 x 2 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 1967 and 7442 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(37,26) = HCF(63,37) = HCF(100,63) = HCF(163,100) = HCF(263,163) = HCF(426,263) = HCF(1541,426) = HCF(1967,1541) = HCF(7442,1967) .
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Frequently Asked Questions on HCF of 1967, 7442 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 1967, 7442?
Answer: HCF of 1967, 7442 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1967, 7442 using Euclid's Algorithm?
Answer: For arbitrary numbers 1967, 7442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.