Highest Common Factor of 1070, 4922 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 1070, 4922 i.e. 214 the largest integer that leaves a remainder zero for all numbers.
HCF of 1070, 4922 is 214 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 1070, 4922 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 1070, 4922 is 214.
HCF(1070, 4922) = 214
HCF of 1070, 4922 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1070, 4922 is 214.
Highest Common Factor of 1070,4922 is 214
Step 1: Since 4922 > 1070, we apply the division lemma to 4922 and 1070, to get
4922 = 1070 x 4 + 642
Step 2: Since the reminder 1070 ≠ 0, we apply division lemma to 642 and 1070, to get
1070 = 642 x 1 + 428
Step 3: We consider the new divisor 642 and the new remainder 428, and apply the division lemma to get
642 = 428 x 1 + 214
We consider the new divisor 428 and the new remainder 214, and apply the division lemma to get
428 = 214 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 214, the HCF of 1070 and 4922 is 214
Notice that 214 = HCF(428,214) = HCF(642,428) = HCF(1070,642) = HCF(4922,1070) .
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Frequently Asked Questions on HCF of 1070, 4922 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 1070, 4922?
Answer: HCF of 1070, 4922 is 214 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1070, 4922 using Euclid's Algorithm?
Answer: For arbitrary numbers 1070, 4922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
