Highest Common Factor of 7364, 4294 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 7364, 4294 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7364, 4294 is 2 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 7364, 4294 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 7364, 4294 is 2.
HCF(7364, 4294) = 2
HCF of 7364, 4294 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7364, 4294 is 2.
Highest Common Factor of 7364,4294 is 2
Step 1: Since 7364 > 4294, we apply the division lemma to 7364 and 4294, to get
7364 = 4294 x 1 + 3070
Step 2: Since the reminder 4294 ≠ 0, we apply division lemma to 3070 and 4294, to get
4294 = 3070 x 1 + 1224
Step 3: We consider the new divisor 3070 and the new remainder 1224, and apply the division lemma to get
3070 = 1224 x 2 + 622
We consider the new divisor 1224 and the new remainder 622,and apply the division lemma to get
1224 = 622 x 1 + 602
We consider the new divisor 622 and the new remainder 602,and apply the division lemma to get
622 = 602 x 1 + 20
We consider the new divisor 602 and the new remainder 20,and apply the division lemma to get
602 = 20 x 30 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7364 and 4294 is 2
Notice that 2 = HCF(20,2) = HCF(602,20) = HCF(622,602) = HCF(1224,622) = HCF(3070,1224) = HCF(4294,3070) = HCF(7364,4294) .
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Frequently Asked Questions on HCF of 7364, 4294 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 7364, 4294?
Answer: HCF of 7364, 4294 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7364, 4294 using Euclid's Algorithm?
Answer: For arbitrary numbers 7364, 4294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.